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Finding the Fourth Proportional to 590.46, 884.88 and 315.96

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Solution

The fourth proportional to 590.46, 884.88 and 315.96 is: 473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 884.88 = 315.96 : x
  2. Step 2: Convert to fraction form
    590.46/884.88 = 315.96/x
  3. Step 3: Cross multiply
    590.46x = 884.88 × 315.96
  4. Step 4: Simplify right side
    590.46x = 279,586.68
  5. Step 5: Solve for x
    x = 279,586.68/590.46
  6. Step 6: Final answer
    x = 473.51

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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.