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Finding the Fourth Proportional to 478.88, 714.12 and 462.24

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Solution

The fourth proportional to 478.88, 714.12 and 462.24 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 714.12 = 462.24 : x
  2. Step 2: Convert to fraction form
    478.88/714.12 = 462.24/x
  3. Step 3: Cross multiply
    478.88x = 714.12 × 462.24
  4. Step 4: Simplify right side
    478.88x = 330,094.83
  5. Step 5: Solve for x
    x = 330,094.83/478.88
  6. Step 6: Final answer
    x = 689.31

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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.