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Finding the Fourth Proportional to 282.83, 423.74 and 265.89

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Solution

The fourth proportional to 282.83, 423.74 and 265.89 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 423.74 = 265.89 : x
  2. Step 2: Convert to fraction form
    282.83/423.74 = 265.89/x
  3. Step 3: Cross multiply
    282.83x = 423.74 × 265.89
  4. Step 4: Simplify right side
    282.83x = 112,666.90
  5. Step 5: Solve for x
    x = 112,666.90/282.83
  6. Step 6: Final answer
    x = 398.36

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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.