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Finding the Fourth Proportional to 541.87, 747.55 and 345.34

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Solution

The fourth proportional to 541.87, 747.55 and 345.34 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 747.55 = 345.34 : x
  2. Step 2: Convert to fraction form
    541.87/747.55 = 345.34/x
  3. Step 3: Cross multiply
    541.87x = 747.55 × 345.34
  4. Step 4: Simplify right side
    541.87x = 258,158.92
  5. Step 5: Solve for x
    x = 258,158.92/541.87
  6. Step 6: Final answer
    x = 476.42

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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.