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Finding the Fourth Proportional to 429.32, 592.40 and 298.37

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Solution

The fourth proportional to 429.32, 592.40 and 298.37 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 592.40 = 298.37 : x
  2. Step 2: Convert to fraction form
    429.32/592.40 = 298.37/x
  3. Step 3: Cross multiply
    429.32x = 592.40 × 298.37
  4. Step 4: Simplify right side
    429.32x = 176,752.17
  5. Step 5: Solve for x
    x = 176,752.17/429.32
  6. Step 6: Final answer
    x = 411.71

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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.