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Finding the Fourth Proportional to 590.39, 885.01 and 282.16

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Solution

The fourth proportional to 590.39, 885.01 and 282.16 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 885.01 = 282.16 : x
  2. Step 2: Convert to fraction form
    590.39/885.01 = 282.16/x
  3. Step 3: Cross multiply
    590.39x = 885.01 × 282.16
  4. Step 4: Simplify right side
    590.39x = 249,714.42
  5. Step 5: Solve for x
    x = 249,714.42/590.39
  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.