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Finding the Fourth Proportional to 522.96, 721.71 and 313.17

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Solution

The fourth proportional to 522.96, 721.71 and 313.17 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 721.71 = 313.17 : x
  2. Step 2: Convert to fraction form
    522.96/721.71 = 313.17/x
  3. Step 3: Cross multiply
    522.96x = 721.71 × 313.17
  4. Step 4: Simplify right side
    522.96x = 226,017.92
  5. Step 5: Solve for x
    x = 226,017.92/522.96
  6. Step 6: Final answer
    x = 432.19

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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.