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Finding the Fourth Proportional to 590.77, 885.56 and 282.17

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Solution

The fourth proportional to 590.77, 885.56 and 282.17 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.77 : 885.56 = 282.17 : x
  2. Step 2: Convert to fraction form
    590.77/885.56 = 282.17/x
  3. Step 3: Cross multiply
    590.77x = 885.56 × 282.17
  4. Step 4: Simplify right side
    590.77x = 249,877.05
  5. Step 5: Solve for x
    x = 249,877.05/590.77
  6. Step 6: Final answer
    x = 422.97

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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.