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Finding the Fourth Proportional to 590.98, 883.07 and 451.36

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Solution

The fourth proportional to 590.98, 883.07 and 451.36 is: 674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.98 : 883.07 = 451.36 : x
  2. Step 2: Convert to fraction form
    590.98/883.07 = 451.36/x
  3. Step 3: Cross multiply
    590.98x = 883.07 × 451.36
  4. Step 4: Simplify right side
    590.98x = 398,582.48
  5. Step 5: Solve for x
    x = 398,582.48/590.98
  6. Step 6: Final answer
    x = 674.44

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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.