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Finding the Fourth Proportional to 693.23, 956.81 and 472.71

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Solution

The fourth proportional to 693.23, 956.81 and 472.71 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 956.81 = 472.71 : x
  2. Step 2: Convert to fraction form
    693.23/956.81 = 472.71/x
  3. Step 3: Cross multiply
    693.23x = 956.81 × 472.71
  4. Step 4: Simplify right side
    693.23x = 452,294.84
  5. Step 5: Solve for x
    x = 452,294.84/693.23
  6. Step 6: Final answer
    x = 652.44

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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.