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Finding the Fourth Proportional to 564.49, 778.55 and 357.13

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Solution

The fourth proportional to 564.49, 778.55 and 357.13 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 778.55 = 357.13 : x
  2. Step 2: Convert to fraction form
    564.49/778.55 = 357.13/x
  3. Step 3: Cross multiply
    564.49x = 778.55 × 357.13
  4. Step 4: Simplify right side
    564.49x = 278,041.78
  5. Step 5: Solve for x
    x = 278,041.78/564.49
  6. Step 6: Final answer
    x = 492.55

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