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Finding the Fourth Proportional to 575.97, 862.47 and 369.96

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Solution

The fourth proportional to 575.97, 862.47 and 369.96 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.97 : 862.47 = 369.96 : x
  2. Step 2: Convert to fraction form
    575.97/862.47 = 369.96/x
  3. Step 3: Cross multiply
    575.97x = 862.47 × 369.96
  4. Step 4: Simplify right side
    575.97x = 319,079.40
  5. Step 5: Solve for x
    x = 319,079.40/575.97
  6. Step 6: Final answer
    x = 553.99

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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.