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Finding the Fourth Proportional to 586.23, 809.07 and 365.20

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Solution

The fourth proportional to 586.23, 809.07 and 365.20 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.23 : 809.07 = 365.20 : x
  2. Step 2: Convert to fraction form
    586.23/809.07 = 365.20/x
  3. Step 3: Cross multiply
    586.23x = 809.07 × 365.20
  4. Step 4: Simplify right side
    586.23x = 295,472.36
  5. Step 5: Solve for x
    x = 295,472.36/586.23
  6. Step 6: Final answer
    x = 504.02

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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.