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Finding the Fourth Proportional to 429.54, 591.84 and 298.32

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Solution

The fourth proportional to 429.54, 591.84 and 298.32 is: 411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 591.84 = 298.32 : x
  2. Step 2: Convert to fraction form
    429.54/591.84 = 298.32/x
  3. Step 3: Cross multiply
    429.54x = 591.84 × 298.32
  4. Step 4: Simplify right side
    429.54x = 176,557.71
  5. Step 5: Solve for x
    x = 176,557.71/429.54
  6. Step 6: Final answer
    x = 411.04

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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.