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Finding the Fourth Proportional to 590.24, 885.38 and 407.09

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Solution

The fourth proportional to 590.24, 885.38 and 407.09 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 885.38 = 407.09 : x
  2. Step 2: Convert to fraction form
    590.24/885.38 = 407.09/x
  3. Step 3: Cross multiply
    590.24x = 885.38 × 407.09
  4. Step 4: Simplify right side
    590.24x = 360,429.52
  5. Step 5: Solve for x
    x = 360,429.52/590.24
  6. Step 6: Final answer
    x = 610.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.