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Finding the Fourth Proportional to 564.38, 780.46 and 538.59

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Solution

The fourth proportional to 564.38, 780.46 and 538.59 is: 744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 780.46 = 538.59 : x
  2. Step 2: Convert to fraction form
    564.38/780.46 = 538.59/x
  3. Step 3: Cross multiply
    564.38x = 780.46 × 538.59
  4. Step 4: Simplify right side
    564.38x = 420,346.60
  5. Step 5: Solve for x
    x = 420,346.60/564.38
  6. Step 6: Final answer
    x = 744.80

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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.