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Finding the Fourth Proportional to 564.60, 845.68 and 358.66

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Solution

The fourth proportional to 564.60, 845.68 and 358.66 is: 537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 845.68 = 358.66 : x
  2. Step 2: Convert to fraction form
    564.60/845.68 = 358.66/x
  3. Step 3: Cross multiply
    564.60x = 845.68 × 358.66
  4. Step 4: Simplify right side
    564.60x = 303,311.59
  5. Step 5: Solve for x
    x = 303,311.59/564.60
  6. Step 6: Final answer
    x = 537.21

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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.