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Finding the Fourth Proportional to 574.88, 862.08 and 356

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Solution

The fourth proportional to 574.88, 862.08 and 356 is: 533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.88 : 862.08 = 356 : x
  2. Step 2: Convert to fraction form
    574.88/862.08 = 356/x
  3. Step 3: Cross multiply
    574.88x = 862.08 × 356
  4. Step 4: Simplify right side
    574.88x = 306,900.48
  5. Step 5: Solve for x
    x = 306,900.48/574.88
  6. Step 6: Final answer
    x = 533.85

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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.