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Finding the Fourth Proportional to 429.53, 595.24 and 424.46

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Solution

The fourth proportional to 429.53, 595.24 and 424.46 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.53 : 595.24 = 424.46 : x
  2. Step 2: Convert to fraction form
    429.53/595.24 = 424.46/x
  3. Step 3: Cross multiply
    429.53x = 595.24 × 424.46
  4. Step 4: Simplify right side
    429.53x = 252,656.00
  5. Step 5: Solve for x
    x = 252,656.00/429.53
  6. Step 6: Final answer
    x = 588.22

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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.