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Finding the Fourth Proportional to 540.17, 743.88 and 470.10

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Solution

The fourth proportional to 540.17, 743.88 and 470.10 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.17 : 743.88 = 470.10 : x
  2. Step 2: Convert to fraction form
    540.17/743.88 = 470.10/x
  3. Step 3: Cross multiply
    540.17x = 743.88 × 470.10
  4. Step 4: Simplify right side
    540.17x = 349,702.54
  5. Step 5: Solve for x
    x = 349,702.54/540.17
  6. Step 6: Final answer
    x = 647.39

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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.