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Finding the Fourth Proportional to 586.73, 809.46 and 409.65

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Solution

The fourth proportional to 586.73, 809.46 and 409.65 is: 565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.73 : 809.46 = 409.65 : x
  2. Step 2: Convert to fraction form
    586.73/809.46 = 409.65/x
  3. Step 3: Cross multiply
    586.73x = 809.46 × 409.65
  4. Step 4: Simplify right side
    586.73x = 331,592.25
  5. Step 5: Solve for x
    x = 331,592.25/586.73
  6. Step 6: Final answer
    x = 565.15

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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.