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Finding the Fourth Proportional to 568.76, 854.14 and 466.24

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Solution

The fourth proportional to 568.76, 854.14 and 466.24 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 854.14 = 466.24 : x
  2. Step 2: Convert to fraction form
    568.76/854.14 = 466.24/x
  3. Step 3: Cross multiply
    568.76x = 854.14 × 466.24
  4. Step 4: Simplify right side
    568.76x = 398,234.23
  5. Step 5: Solve for x
    x = 398,234.23/568.76
  6. Step 6: Final answer
    x = 700.18

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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.