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Finding the Fourth Proportional to 590.76, 885.06 and 408.24

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Solution

The fourth proportional to 590.76, 885.06 and 408.24 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 885.06 = 408.24 : x
  2. Step 2: Convert to fraction form
    590.76/885.06 = 408.24/x
  3. Step 3: Cross multiply
    590.76x = 885.06 × 408.24
  4. Step 4: Simplify right side
    590.76x = 361,316.89
  5. Step 5: Solve for x
    x = 361,316.89/590.76
  6. Step 6: Final answer
    x = 611.61

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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.