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Finding the Fourth Proportional to 648.27, 972.57 and 373.86

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Solution

The fourth proportional to 648.27, 972.57 and 373.86 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.27 : 972.57 = 373.86 : x
  2. Step 2: Convert to fraction form
    648.27/972.57 = 373.86/x
  3. Step 3: Cross multiply
    648.27x = 972.57 × 373.86
  4. Step 4: Simplify right side
    648.27x = 363,605.02
  5. Step 5: Solve for x
    x = 363,605.02/648.27
  6. Step 6: Final answer
    x = 560.89

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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.