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Finding the Fourth Proportional to 574.86, 862.71 and 286.50

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Solution

The fourth proportional to 574.86, 862.71 and 286.50 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 862.71 = 286.50 : x
  2. Step 2: Convert to fraction form
    574.86/862.71 = 286.50/x
  3. Step 3: Cross multiply
    574.86x = 862.71 × 286.50
  4. Step 4: Simplify right side
    574.86x = 247,166.42
  5. Step 5: Solve for x
    x = 247,166.42/574.86
  6. Step 6: Final answer
    x = 429.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.