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Finding the Fourth Proportional to 464.96, 698.28 and 282.76

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Solution

The fourth proportional to 464.96, 698.28 and 282.76 is: 424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 698.28 = 282.76 : x
  2. Step 2: Convert to fraction form
    464.96/698.28 = 282.76/x
  3. Step 3: Cross multiply
    464.96x = 698.28 × 282.76
  4. Step 4: Simplify right side
    464.96x = 197,445.65
  5. Step 5: Solve for x
    x = 197,445.65/464.96
  6. Step 6: Final answer
    x = 424.65

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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.