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Finding the Fourth Proportional to 568.82, 854.91 and 471.93

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Solution

The fourth proportional to 568.82, 854.91 and 471.93 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.82 : 854.91 = 471.93 : x
  2. Step 2: Convert to fraction form
    568.82/854.91 = 471.93/x
  3. Step 3: Cross multiply
    568.82x = 854.91 × 471.93
  4. Step 4: Simplify right side
    568.82x = 403,457.68
  5. Step 5: Solve for x
    x = 403,457.68/568.82
  6. Step 6: Final answer
    x = 709.30

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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.