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Finding the Fourth Proportional to 564.74, 778.89 and 357.38

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Solution

The fourth proportional to 564.74, 778.89 and 357.38 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 778.89 = 357.38 : x
  2. Step 2: Convert to fraction form
    564.74/778.89 = 357.38/x
  3. Step 3: Cross multiply
    564.74x = 778.89 × 357.38
  4. Step 4: Simplify right side
    564.74x = 278,359.71
  5. Step 5: Solve for x
    x = 278,359.71/564.74
  6. Step 6: Final answer
    x = 492.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.