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Finding the Fourth Proportional to 431.84, 648.27 and 363.19

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Solution

The fourth proportional to 431.84, 648.27 and 363.19 is: 545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 648.27 = 363.19 : x
  2. Step 2: Convert to fraction form
    431.84/648.27 = 363.19/x
  3. Step 3: Cross multiply
    431.84x = 648.27 × 363.19
  4. Step 4: Simplify right side
    431.84x = 235,445.18
  5. Step 5: Solve for x
    x = 235,445.18/431.84
  6. Step 6: Final answer
    x = 545.21

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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.