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Finding the Fourth Proportional to 586.26, 809.16 and 409.14

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Solution

The fourth proportional to 586.26, 809.16 and 409.14 is: 564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 809.16 = 409.14 : x
  2. Step 2: Convert to fraction form
    586.26/809.16 = 409.14/x
  3. Step 3: Cross multiply
    586.26x = 809.16 × 409.14
  4. Step 4: Simplify right side
    586.26x = 331,059.72
  5. Step 5: Solve for x
    x = 331,059.72/586.26
  6. Step 6: Final answer
    x = 564.70

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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.