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Finding the Fourth Proportional to 586.17, 809.28 and 420.26

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Solution

The fourth proportional to 586.17, 809.28 and 420.26 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.17 : 809.28 = 420.26 : x
  2. Step 2: Convert to fraction form
    586.17/809.28 = 420.26/x
  3. Step 3: Cross multiply
    586.17x = 809.28 × 420.26
  4. Step 4: Simplify right side
    586.17x = 340,103.97
  5. Step 5: Solve for x
    x = 340,103.97/586.17
  6. Step 6: Final answer
    x = 580.21

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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.