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Finding the Fourth Proportional to 684.88, 944.98 and 404.92

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Solution

The fourth proportional to 684.88, 944.98 and 404.92 is: 558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 944.98 = 404.92 : x
  2. Step 2: Convert to fraction form
    684.88/944.98 = 404.92/x
  3. Step 3: Cross multiply
    684.88x = 944.98 × 404.92
  4. Step 4: Simplify right side
    684.88x = 382,641.30
  5. Step 5: Solve for x
    x = 382,641.30/684.88
  6. Step 6: Final answer
    x = 558.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.