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Finding the Fourth Proportional to 429.06, 591.13 and 408.58

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Solution

The fourth proportional to 429.06, 591.13 and 408.58 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 591.13 = 408.58 : x
  2. Step 2: Convert to fraction form
    429.06/591.13 = 408.58/x
  3. Step 3: Cross multiply
    429.06x = 591.13 × 408.58
  4. Step 4: Simplify right side
    429.06x = 241,523.90
  5. Step 5: Solve for x
    x = 241,523.90/429.06
  6. Step 6: Final answer
    x = 562.91

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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.