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Finding the Fourth Proportional to 465.48, 698.76 and 282.96

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Solution

The fourth proportional to 465.48, 698.76 and 282.96 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.48 : 698.76 = 282.96 : x
  2. Step 2: Convert to fraction form
    465.48/698.76 = 282.96/x
  3. Step 3: Cross multiply
    465.48x = 698.76 × 282.96
  4. Step 4: Simplify right side
    465.48x = 197,721.13
  5. Step 5: Solve for x
    x = 197,721.13/465.48
  6. Step 6: Final answer
    x = 424.77

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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.