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Finding the Fourth Proportional to 520.51, 717.29 and 470.17

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Solution

The fourth proportional to 520.51, 717.29 and 470.17 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.51 : 717.29 = 470.17 : x
  2. Step 2: Convert to fraction form
    520.51/717.29 = 470.17/x
  3. Step 3: Cross multiply
    520.51x = 717.29 × 470.17
  4. Step 4: Simplify right side
    520.51x = 337,245.89
  5. Step 5: Solve for x
    x = 337,245.89/520.51
  6. Step 6: Final answer
    x = 647.92

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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.