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Finding the Fourth Proportional to 465.95, 698.01 and 282.80

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Solution

The fourth proportional to 465.95, 698.01 and 282.80 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 698.01 = 282.80 : x
  2. Step 2: Convert to fraction form
    465.95/698.01 = 282.80/x
  3. Step 3: Cross multiply
    465.95x = 698.01 × 282.80
  4. Step 4: Simplify right side
    465.95x = 197,397.23
  5. Step 5: Solve for x
    x = 197,397.23/465.95
  6. Step 6: Final answer
    x = 423.64

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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.