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Finding the Fourth Proportional to 975.80, 1,463.54 and 282.32

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Solution

The fourth proportional to 975.80, 1,463.54 and 282.32 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,463.54 = 282.32 : x
  2. Step 2: Convert to fraction form
    975.80/1,463.54 = 282.32/x
  3. Step 3: Cross multiply
    975.80x = 1,463.54 × 282.32
  4. Step 4: Simplify right side
    975.80x = 413,177.88
  5. Step 5: Solve for x
    x = 413,177.88/975.80
  6. Step 6: Final answer
    x = 423.42

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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.