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Finding the Fourth Proportional to 456.98, 684.38 and 283.17

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Solution

The fourth proportional to 456.98, 684.38 and 283.17 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 684.38 = 283.17 : x
  2. Step 2: Convert to fraction form
    456.98/684.38 = 283.17/x
  3. Step 3: Cross multiply
    456.98x = 684.38 × 283.17
  4. Step 4: Simplify right side
    456.98x = 193,794.47
  5. Step 5: Solve for x
    x = 193,794.47/456.98
  6. Step 6: Final answer
    x = 424.08

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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.