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Finding the Fourth Proportional to 586.06, 809.17 and 365.06

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Solution

The fourth proportional to 586.06, 809.17 and 365.06 is: 504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.06 : 809.17 = 365.06 : x
  2. Step 2: Convert to fraction form
    586.06/809.17 = 365.06/x
  3. Step 3: Cross multiply
    586.06x = 809.17 × 365.06
  4. Step 4: Simplify right side
    586.06x = 295,395.60
  5. Step 5: Solve for x
    x = 295,395.60/586.06
  6. Step 6: Final answer
    x = 504.04

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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.