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Finding the Fourth Proportional to 648.47, 972.33 and 258.09

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Solution

The fourth proportional to 648.47, 972.33 and 258.09 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.47 : 972.33 = 258.09 : x
  2. Step 2: Convert to fraction form
    648.47/972.33 = 258.09/x
  3. Step 3: Cross multiply
    648.47x = 972.33 × 258.09
  4. Step 4: Simplify right side
    648.47x = 250,948.65
  5. Step 5: Solve for x
    x = 250,948.65/648.47
  6. Step 6: Final answer
    x = 386.99

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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.