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Finding the Fourth Proportional to 590.86, 882.88 and 451.23

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Solution

The fourth proportional to 590.86, 882.88 and 451.23 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.86 : 882.88 = 451.23 : x
  2. Step 2: Convert to fraction form
    590.86/882.88 = 451.23/x
  3. Step 3: Cross multiply
    590.86x = 882.88 × 451.23
  4. Step 4: Simplify right side
    590.86x = 398,379.69
  5. Step 5: Solve for x
    x = 398,379.69/590.86
  6. Step 6: Final answer
    x = 674.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.