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Finding the Fourth Proportional to 944.25, 1,302.60 and 590.28

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Solution

The fourth proportional to 944.25, 1,302.60 and 590.28 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.25 : 1,302.60 = 590.28 : x
  2. Step 2: Convert to fraction form
    944.25/1,302.60 = 590.28/x
  3. Step 3: Cross multiply
    944.25x = 1,302.60 × 590.28
  4. Step 4: Simplify right side
    944.25x = 768,898.73
  5. Step 5: Solve for x
    x = 768,898.73/944.25
  6. Step 6: Final answer
    x = 814.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.