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Finding the Fourth Proportional to 465.58, 698.02 and 282.93

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Solution

The fourth proportional to 465.58, 698.02 and 282.93 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 698.02 = 282.93 : x
  2. Step 2: Convert to fraction form
    465.58/698.02 = 282.93/x
  3. Step 3: Cross multiply
    465.58x = 698.02 × 282.93
  4. Step 4: Simplify right side
    465.58x = 197,490.80
  5. Step 5: Solve for x
    x = 197,490.80/465.58
  6. Step 6: Final answer
    x = 424.18

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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.