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Finding the Fourth Proportional to 677.93, 935.13 and 429.15

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Solution

The fourth proportional to 677.93, 935.13 and 429.15 is: 591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.93 : 935.13 = 429.15 : x
  2. Step 2: Convert to fraction form
    677.93/935.13 = 429.15/x
  3. Step 3: Cross multiply
    677.93x = 935.13 × 429.15
  4. Step 4: Simplify right side
    677.93x = 401,311.04
  5. Step 5: Solve for x
    x = 401,311.04/677.93
  6. Step 6: Final answer
    x = 591.97

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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.