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Finding the Fourth Proportional to 477.18, 714.72 and 422.49

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Solution

The fourth proportional to 477.18, 714.72 and 422.49 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 714.72 = 422.49 : x
  2. Step 2: Convert to fraction form
    477.18/714.72 = 422.49/x
  3. Step 3: Cross multiply
    477.18x = 714.72 × 422.49
  4. Step 4: Simplify right side
    477.18x = 301,962.05
  5. Step 5: Solve for x
    x = 301,962.05/477.18
  6. Step 6: Final answer
    x = 632.81

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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.