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Finding the Fourth Proportional to 282.59, 426.49 and 275.30

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Solution

The fourth proportional to 282.59, 426.49 and 275.30 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 426.49 = 275.30 : x
  2. Step 2: Convert to fraction form
    282.59/426.49 = 275.30/x
  3. Step 3: Cross multiply
    282.59x = 426.49 × 275.30
  4. Step 4: Simplify right side
    282.59x = 117,412.25
  5. Step 5: Solve for x
    x = 117,412.25/282.59
  6. Step 6: Final answer
    x = 415.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.