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Finding the Fourth Proportional to 630, 944.64 and 558

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Solution

The fourth proportional to 630, 944.64 and 558 is: 836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630 : 944.64 = 558 : x
  2. Step 2: Convert to fraction form
    630/944.64 = 558/x
  3. Step 3: Cross multiply
    630x = 944.64 × 558
  4. Step 4: Simplify right side
    630x = 527,109.12
  5. Step 5: Solve for x
    x = 527,109.12/630
  6. Step 6: Final answer
    x = 836.68

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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.