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Finding the Fourth Proportional to 465.52, 698.32 and 283.12

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Solution

The fourth proportional to 465.52, 698.32 and 283.12 is: 424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 698.32 = 283.12 : x
  2. Step 2: Convert to fraction form
    465.52/698.32 = 283.12/x
  3. Step 3: Cross multiply
    465.52x = 698.32 × 283.12
  4. Step 4: Simplify right side
    465.52x = 197,708.36
  5. Step 5: Solve for x
    x = 197,708.36/465.52
  6. Step 6: Final answer
    x = 424.70

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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.