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Finding the Fourth Proportional to 590.25, 880.80 and 512.49

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Solution

The fourth proportional to 590.25, 880.80 and 512.49 is: 764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 880.80 = 512.49 : x
  2. Step 2: Convert to fraction form
    590.25/880.80 = 512.49/x
  3. Step 3: Cross multiply
    590.25x = 880.80 × 512.49
  4. Step 4: Simplify right side
    590.25x = 451,401.19
  5. Step 5: Solve for x
    x = 451,401.19/590.25
  6. Step 6: Final answer
    x = 764.76

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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.