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Finding the Fourth Proportional to 590.09, 813.65 and 442.44

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Solution

The fourth proportional to 590.09, 813.65 and 442.44 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 813.65 = 442.44 : x
  2. Step 2: Convert to fraction form
    590.09/813.65 = 442.44/x
  3. Step 3: Cross multiply
    590.09x = 813.65 × 442.44
  4. Step 4: Simplify right side
    590.09x = 359,989.09
  5. Step 5: Solve for x
    x = 359,989.09/590.09
  6. Step 6: Final answer
    x = 610.06

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