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Finding the Fourth Proportional to 590.46, 885.72 and 265.83

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Solution

The fourth proportional to 590.46, 885.72 and 265.83 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 885.72 = 265.83 : x
  2. Step 2: Convert to fraction form
    590.46/885.72 = 265.83/x
  3. Step 3: Cross multiply
    590.46x = 885.72 × 265.83
  4. Step 4: Simplify right side
    590.46x = 235,450.95
  5. Step 5: Solve for x
    x = 235,450.95/590.46
  6. Step 6: Final answer
    x = 398.76

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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.