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Finding the Fourth Proportional to 648.17, 972.25 and 360.21

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Solution

The fourth proportional to 648.17, 972.25 and 360.21 is: 540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.17 : 972.25 = 360.21 : x
  2. Step 2: Convert to fraction form
    648.17/972.25 = 360.21/x
  3. Step 3: Cross multiply
    648.17x = 972.25 × 360.21
  4. Step 4: Simplify right side
    648.17x = 350,214.17
  5. Step 5: Solve for x
    x = 350,214.17/648.17
  6. Step 6: Final answer
    x = 540.31

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1.5x scale

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.