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Finding the Fourth Proportional to 690.13, 951.92 and 428.13

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Solution

The fourth proportional to 690.13, 951.92 and 428.13 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 951.92 = 428.13 : x
  2. Step 2: Convert to fraction form
    690.13/951.92 = 428.13/x
  3. Step 3: Cross multiply
    690.13x = 951.92 × 428.13
  4. Step 4: Simplify right side
    690.13x = 407,546.58
  5. Step 5: Solve for x
    x = 407,546.58/690.13
  6. Step 6: Final answer
    x = 590.54

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Why These Related Problems?

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