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Finding the Fourth Proportional to 653.68, 902.15 and 373.86

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Solution

The fourth proportional to 653.68, 902.15 and 373.86 is: 515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.68 : 902.15 = 373.86 : x
  2. Step 2: Convert to fraction form
    653.68/902.15 = 373.86/x
  3. Step 3: Cross multiply
    653.68x = 902.15 × 373.86
  4. Step 4: Simplify right side
    653.68x = 337,280.44
  5. Step 5: Solve for x
    x = 337,280.44/653.68
  6. Step 6: Final answer
    x = 515.97

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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.