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Finding the Fourth Proportional to 429.42, 591.95 and 366.78

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Solution

The fourth proportional to 429.42, 591.95 and 366.78 is: 505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 591.95 = 366.78 : x
  2. Step 2: Convert to fraction form
    429.42/591.95 = 366.78/x
  3. Step 3: Cross multiply
    429.42x = 591.95 × 366.78
  4. Step 4: Simplify right side
    429.42x = 217,115.42
  5. Step 5: Solve for x
    x = 217,115.42/429.42
  6. Step 6: Final answer
    x = 505.60

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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.