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Finding the Fourth Proportional to 564.67, 847.72 and 462.16

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Solution

The fourth proportional to 564.67, 847.72 and 462.16 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 847.72 = 462.16 : x
  2. Step 2: Convert to fraction form
    564.67/847.72 = 462.16/x
  3. Step 3: Cross multiply
    564.67x = 847.72 × 462.16
  4. Step 4: Simplify right side
    564.67x = 391,776.54
  5. Step 5: Solve for x
    x = 391,776.54/564.67
  6. Step 6: Final answer
    x = 693.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.