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Finding the Fourth Proportional to 590.06, 884.34 and 282.03

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Solution

The fourth proportional to 590.06, 884.34 and 282.03 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 884.34 = 282.03 : x
  2. Step 2: Convert to fraction form
    590.06/884.34 = 282.03/x
  3. Step 3: Cross multiply
    590.06x = 884.34 × 282.03
  4. Step 4: Simplify right side
    590.06x = 249,410.41
  5. Step 5: Solve for x
    x = 249,410.41/590.06
  6. Step 6: Final answer
    x = 422.69

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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.