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Finding the Fourth Proportional to 569.67, 853.02 and 478.14

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Solution

The fourth proportional to 569.67, 853.02 and 478.14 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 853.02 = 478.14 : x
  2. Step 2: Convert to fraction form
    569.67/853.02 = 478.14/x
  3. Step 3: Cross multiply
    569.67x = 853.02 × 478.14
  4. Step 4: Simplify right side
    569.67x = 407,862.98
  5. Step 5: Solve for x
    x = 407,862.98/569.67
  6. Step 6: Final answer
    x = 715.96

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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.