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Finding the Fourth Proportional to 575.74, 863.58 and 316.24

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Solution

The fourth proportional to 575.74, 863.58 and 316.24 is: 474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 863.58 = 316.24 : x
  2. Step 2: Convert to fraction form
    575.74/863.58 = 316.24/x
  3. Step 3: Cross multiply
    575.74x = 863.58 × 316.24
  4. Step 4: Simplify right side
    575.74x = 273,098.54
  5. Step 5: Solve for x
    x = 273,098.54/575.74
  6. Step 6: Final answer
    x = 474.34

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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.