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Finding the Fourth Proportional to 648.96, 972.48 and 360

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Solution

The fourth proportional to 648.96, 972.48 and 360 is: 539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 972.48 = 360 : x
  2. Step 2: Convert to fraction form
    648.96/972.48 = 360/x
  3. Step 3: Cross multiply
    648.96x = 972.48 × 360
  4. Step 4: Simplify right side
    648.96x = 350,092.80
  5. Step 5: Solve for x
    x = 350,092.80/648.96
  6. Step 6: Final answer
    x = 539.47

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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.