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Finding the Fourth Proportional to 590.34, 884.87 and 282.08

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Solution

The fourth proportional to 590.34, 884.87 and 282.08 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 884.87 = 282.08 : x
  2. Step 2: Convert to fraction form
    590.34/884.87 = 282.08/x
  3. Step 3: Cross multiply
    590.34x = 884.87 × 282.08
  4. Step 4: Simplify right side
    590.34x = 249,607.58
  5. Step 5: Solve for x
    x = 249,607.58/590.34
  6. Step 6: Final answer
    x = 422.82

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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.