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Finding the Fourth Proportional to 539.61, 744.57 and 470.40

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Solution

The fourth proportional to 539.61, 744.57 and 470.40 is: 649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.61 : 744.57 = 470.40 : x
  2. Step 2: Convert to fraction form
    539.61/744.57 = 470.40/x
  3. Step 3: Cross multiply
    539.61x = 744.57 × 470.40
  4. Step 4: Simplify right side
    539.61x = 350,245.73
  5. Step 5: Solve for x
    x = 350,245.73/539.61
  6. Step 6: Final answer
    x = 649.07

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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.