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Finding the Fourth Proportional to 429.16, 596.25 and 424.04

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Solution

The fourth proportional to 429.16, 596.25 and 424.04 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 596.25 = 424.04 : x
  2. Step 2: Convert to fraction form
    429.16/596.25 = 424.04/x
  3. Step 3: Cross multiply
    429.16x = 596.25 × 424.04
  4. Step 4: Simplify right side
    429.16x = 252,833.85
  5. Step 5: Solve for x
    x = 252,833.85/429.16
  6. Step 6: Final answer
    x = 589.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.