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Finding the Fourth Proportional to 564.61, 847.31 and 348.34

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Solution

The fourth proportional to 564.61, 847.31 and 348.34 is: 522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 847.31 = 348.34 : x
  2. Step 2: Convert to fraction form
    564.61/847.31 = 348.34/x
  3. Step 3: Cross multiply
    564.61x = 847.31 × 348.34
  4. Step 4: Simplify right side
    564.61x = 295,151.97
  5. Step 5: Solve for x
    x = 295,151.97/564.61
  6. Step 6: Final answer
    x = 522.75

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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.