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Finding the Fourth Proportional to 648.61, 972.74 and 258.59

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Solution

The fourth proportional to 648.61, 972.74 and 258.59 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 972.74 = 258.59 : x
  2. Step 2: Convert to fraction form
    648.61/972.74 = 258.59/x
  3. Step 3: Cross multiply
    648.61x = 972.74 × 258.59
  4. Step 4: Simplify right side
    648.61x = 251,542.95
  5. Step 5: Solve for x
    x = 251,542.95/648.61
  6. Step 6: Final answer
    x = 387.82

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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.