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Finding the Fourth Proportional to 390.56, 584.62 and 269.06

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Solution

The fourth proportional to 390.56, 584.62 and 269.06 is: 402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 584.62 = 269.06 : x
  2. Step 2: Convert to fraction form
    390.56/584.62 = 269.06/x
  3. Step 3: Cross multiply
    390.56x = 584.62 × 269.06
  4. Step 4: Simplify right side
    390.56x = 157,294.26
  5. Step 5: Solve for x
    x = 157,294.26/390.56
  6. Step 6: Final answer
    x = 402.75

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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.