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Finding the Fourth Proportional to 590.04, 814.86 and 442.44

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Solution

The fourth proportional to 590.04, 814.86 and 442.44 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 814.86 = 442.44 : x
  2. Step 2: Convert to fraction form
    590.04/814.86 = 442.44/x
  3. Step 3: Cross multiply
    590.04x = 814.86 × 442.44
  4. Step 4: Simplify right side
    590.04x = 360,526.66
  5. Step 5: Solve for x
    x = 360,526.66/590.04
  6. Step 6: Final answer
    x = 611.02

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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.