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Finding the Fourth Proportional to 540.29, 810.35 and 175.02

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Solution

The fourth proportional to 540.29, 810.35 and 175.02 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 810.35 = 175.02 : x
  2. Step 2: Convert to fraction form
    540.29/810.35 = 175.02/x
  3. Step 3: Cross multiply
    540.29x = 810.35 × 175.02
  4. Step 4: Simplify right side
    540.29x = 141,826.58
  5. Step 5: Solve for x
    x = 141,826.58/540.29
  6. Step 6: Final answer
    x = 262.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.