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Finding the Fourth Proportional to 586.24, 809.08 and 409.44

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Solution

The fourth proportional to 586.24, 809.08 and 409.44 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.24 : 809.08 = 409.44 : x
  2. Step 2: Convert to fraction form
    586.24/809.08 = 409.44/x
  3. Step 3: Cross multiply
    586.24x = 809.08 × 409.44
  4. Step 4: Simplify right side
    586.24x = 331,269.72
  5. Step 5: Solve for x
    x = 331,269.72/586.24
  6. Step 6: Final answer
    x = 565.08

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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.