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Finding the Fourth Proportional to 429.02, 592.05 and 232.53

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Solution

The fourth proportional to 429.02, 592.05 and 232.53 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.02 : 592.05 = 232.53 : x
  2. Step 2: Convert to fraction form
    429.02/592.05 = 232.53/x
  3. Step 3: Cross multiply
    429.02x = 592.05 × 232.53
  4. Step 4: Simplify right side
    429.02x = 137,672.48
  5. Step 5: Solve for x
    x = 137,672.48/429.02
  6. Step 6: Final answer
    x = 320.90

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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.