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Finding the Fourth Proportional to 542.25, 748.58 and 509.85

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Solution

The fourth proportional to 542.25, 748.58 and 509.85 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 748.58 = 509.85 : x
  2. Step 2: Convert to fraction form
    542.25/748.58 = 509.85/x
  3. Step 3: Cross multiply
    542.25x = 748.58 × 509.85
  4. Step 4: Simplify right side
    542.25x = 381,660.96
  5. Step 5: Solve for x
    x = 381,660.96/542.25
  6. Step 6: Final answer
    x = 703.85

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.