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Finding the Fourth Proportional to 429.17, 591.95 and 304.70

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Solution

The fourth proportional to 429.17, 591.95 and 304.70 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.17 : 591.95 = 304.70 : x
  2. Step 2: Convert to fraction form
    429.17/591.95 = 304.70/x
  3. Step 3: Cross multiply
    429.17x = 591.95 × 304.70
  4. Step 4: Simplify right side
    429.17x = 180,365.64
  5. Step 5: Solve for x
    x = 180,365.64/429.17
  6. Step 6: Final answer
    x = 420.27

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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.