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Finding the Fourth Proportional to 574.30, 792 and 463.72

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Solution

The fourth proportional to 574.30, 792 and 463.72 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 792 = 463.72 : x
  2. Step 2: Convert to fraction form
    574.30/792 = 463.72/x
  3. Step 3: Cross multiply
    574.30x = 792 × 463.72
  4. Step 4: Simplify right side
    574.30x = 367,266.24
  5. Step 5: Solve for x
    x = 367,266.24/574.30
  6. Step 6: Final answer
    x = 639.50

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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.