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Finding the Fourth Proportional to 678.31, 935.96 and 429.47

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Solution

The fourth proportional to 678.31, 935.96 and 429.47 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.31 : 935.96 = 429.47 : x
  2. Step 2: Convert to fraction form
    678.31/935.96 = 429.47/x
  3. Step 3: Cross multiply
    678.31x = 935.96 × 429.47
  4. Step 4: Simplify right side
    678.31x = 401,963.42
  5. Step 5: Solve for x
    x = 401,963.42/678.31
  6. Step 6: Final answer
    x = 592.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.