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Finding the Fourth Proportional to 540.93, 746.57 and 424.70

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Solution

The fourth proportional to 540.93, 746.57 and 424.70 is: 586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.93 : 746.57 = 424.70 : x
  2. Step 2: Convert to fraction form
    540.93/746.57 = 424.70/x
  3. Step 3: Cross multiply
    540.93x = 746.57 × 424.70
  4. Step 4: Simplify right side
    540.93x = 317,065.61
  5. Step 5: Solve for x
    x = 317,065.61/540.93
  6. Step 6: Final answer
    x = 586.15

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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.