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Finding the Fourth Proportional to 564.65, 844.20 and 478.94

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Solution

The fourth proportional to 564.65, 844.20 and 478.94 is: 716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 844.20 = 478.94 : x
  2. Step 2: Convert to fraction form
    564.65/844.20 = 478.94/x
  3. Step 3: Cross multiply
    564.65x = 844.20 × 478.94
  4. Step 4: Simplify right side
    564.65x = 404,323.26
  5. Step 5: Solve for x
    x = 404,323.26/564.65
  6. Step 6: Final answer
    x = 716.06

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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.