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Finding the Fourth Proportional to 648.54, 972 and 431.46

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Solution

The fourth proportional to 648.54, 972 and 431.46 is: 646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.54 : 972 = 431.46 : x
  2. Step 2: Convert to fraction form
    648.54/972 = 431.46/x
  3. Step 3: Cross multiply
    648.54x = 972 × 431.46
  4. Step 4: Simplify right side
    648.54x = 419,379.12
  5. Step 5: Solve for x
    x = 419,379.12/648.54
  6. Step 6: Final answer
    x = 646.65

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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.