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Finding the Fourth Proportional to 574.84, 793.28 and 312.85

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Solution

The fourth proportional to 574.84, 793.28 and 312.85 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.84 : 793.28 = 312.85 : x
  2. Step 2: Convert to fraction form
    574.84/793.28 = 312.85/x
  3. Step 3: Cross multiply
    574.84x = 793.28 × 312.85
  4. Step 4: Simplify right side
    574.84x = 248,180.41
  5. Step 5: Solve for x
    x = 248,180.41/574.84
  6. Step 6: Final answer
    x = 431.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.