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Finding the Fourth Proportional to 429.12, 591.50 and 304.52

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Solution

The fourth proportional to 429.12, 591.50 and 304.52 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 591.50 = 304.52 : x
  2. Step 2: Convert to fraction form
    429.12/591.50 = 304.52/x
  3. Step 3: Cross multiply
    429.12x = 591.50 × 304.52
  4. Step 4: Simplify right side
    429.12x = 180,123.58
  5. Step 5: Solve for x
    x = 180,123.58/429.12
  6. Step 6: Final answer
    x = 419.75

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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.