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Finding the Fourth Proportional to 590.20, 813.42 and 442.60

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Solution

The fourth proportional to 590.20, 813.42 and 442.60 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.20 : 813.42 = 442.60 : x
  2. Step 2: Convert to fraction form
    590.20/813.42 = 442.60/x
  3. Step 3: Cross multiply
    590.20x = 813.42 × 442.60
  4. Step 4: Simplify right side
    590.20x = 360,019.69
  5. Step 5: Solve for x
    x = 360,019.69/590.20
  6. Step 6: Final answer
    x = 610.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.