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Finding the Fourth Proportional to 829.28, 1,242.24 and 464.24

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Solution

The fourth proportional to 829.28, 1,242.24 and 464.24 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,242.24 = 464.24 : x
  2. Step 2: Convert to fraction form
    829.28/1,242.24 = 464.24/x
  3. Step 3: Cross multiply
    829.28x = 1,242.24 × 464.24
  4. Step 4: Simplify right side
    829.28x = 576,697.50
  5. Step 5: Solve for x
    x = 576,697.50/829.28
  6. Step 6: Final answer
    x = 695.42

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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.