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Finding the Fourth Proportional to 429.19, 592.31 and 362.43

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Solution

The fourth proportional to 429.19, 592.31 and 362.43 is: 500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.19 : 592.31 = 362.43 : x
  2. Step 2: Convert to fraction form
    429.19/592.31 = 362.43/x
  3. Step 3: Cross multiply
    429.19x = 592.31 × 362.43
  4. Step 4: Simplify right side
    429.19x = 214,671.82
  5. Step 5: Solve for x
    x = 214,671.82/429.19
  6. Step 6: Final answer
    x = 500.18

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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.