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Finding the Fourth Proportional to 575.65, 862.39 and 286.39

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Solution

The fourth proportional to 575.65, 862.39 and 286.39 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.65 : 862.39 = 286.39 : x
  2. Step 2: Convert to fraction form
    575.65/862.39 = 286.39/x
  3. Step 3: Cross multiply
    575.65x = 862.39 × 286.39
  4. Step 4: Simplify right side
    575.65x = 246,974.13
  5. Step 5: Solve for x
    x = 246,974.13/575.65
  6. Step 6: Final answer
    x = 429.04

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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.