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Finding the Fourth Proportional to 564.65, 847.85 and 496.74

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Solution

The fourth proportional to 564.65, 847.85 and 496.74 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 847.85 = 496.74 : x
  2. Step 2: Convert to fraction form
    564.65/847.85 = 496.74/x
  3. Step 3: Cross multiply
    564.65x = 847.85 × 496.74
  4. Step 4: Simplify right side
    564.65x = 421,158.53
  5. Step 5: Solve for x
    x = 421,158.53/564.65
  6. Step 6: Final answer
    x = 745.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.