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Finding the Fourth Proportional to 438.96, 655.02 and 432.24

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Solution

The fourth proportional to 438.96, 655.02 and 432.24 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 655.02 = 432.24 : x
  2. Step 2: Convert to fraction form
    438.96/655.02 = 432.24/x
  3. Step 3: Cross multiply
    438.96x = 655.02 × 432.24
  4. Step 4: Simplify right side
    438.96x = 283,125.84
  5. Step 5: Solve for x
    x = 283,125.84/438.96
  6. Step 6: Final answer
    x = 644.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.