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Finding the Fourth Proportional to 585.67, 879.69 and 351.88

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Solution

The fourth proportional to 585.67, 879.69 and 351.88 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.67 : 879.69 = 351.88 : x
  2. Step 2: Convert to fraction form
    585.67/879.69 = 351.88/x
  3. Step 3: Cross multiply
    585.67x = 879.69 × 351.88
  4. Step 4: Simplify right side
    585.67x = 309,545.32
  5. Step 5: Solve for x
    x = 309,545.32/585.67
  6. Step 6: Final answer
    x = 528.53

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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.