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Finding the Fourth Proportional to 613.24, 847.56 and 540.16

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Solution

The fourth proportional to 613.24, 847.56 and 540.16 is: 746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.24 : 847.56 = 540.16 : x
  2. Step 2: Convert to fraction form
    613.24/847.56 = 540.16/x
  3. Step 3: Cross multiply
    613.24x = 847.56 × 540.16
  4. Step 4: Simplify right side
    613.24x = 457,818.01
  5. Step 5: Solve for x
    x = 457,818.01/613.24
  6. Step 6: Final answer
    x = 746.56

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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.