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Finding the Fourth Proportional to 517.50, 714.47 and 406.71

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Solution

The fourth proportional to 517.50, 714.47 and 406.71 is: 561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 714.47 = 406.71 : x
  2. Step 2: Convert to fraction form
    517.50/714.47 = 406.71/x
  3. Step 3: Cross multiply
    517.50x = 714.47 × 406.71
  4. Step 4: Simplify right side
    517.50x = 290,580.06
  5. Step 5: Solve for x
    x = 290,580.06/517.50
  6. Step 6: Final answer
    x = 561.51

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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.