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Finding the Fourth Proportional to 590.85, 884.19 and 514.64

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Solution

The fourth proportional to 590.85, 884.19 and 514.64 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 884.19 = 514.64 : x
  2. Step 2: Convert to fraction form
    590.85/884.19 = 514.64/x
  3. Step 3: Cross multiply
    590.85x = 884.19 × 514.64
  4. Step 4: Simplify right side
    590.85x = 455,039.54
  5. Step 5: Solve for x
    x = 455,039.54/590.85
  6. Step 6: Final answer
    x = 770.14

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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.