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Finding the Fourth Proportional to 562.14, 847.01 and 466.76

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Solution

The fourth proportional to 562.14, 847.01 and 466.76 is: 703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 847.01 = 466.76 : x
  2. Step 2: Convert to fraction form
    562.14/847.01 = 466.76/x
  3. Step 3: Cross multiply
    562.14x = 847.01 × 466.76
  4. Step 4: Simplify right side
    562.14x = 395,353.67
  5. Step 5: Solve for x
    x = 395,353.67/562.14
  6. Step 6: Final answer
    x = 703.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.