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Finding the Fourth Proportional to 586.30, 809.14 and 365.28

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Solution

The fourth proportional to 586.30, 809.14 and 365.28 is: 504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.30 : 809.14 = 365.28 : x
  2. Step 2: Convert to fraction form
    586.30/809.14 = 365.28/x
  3. Step 3: Cross multiply
    586.30x = 809.14 × 365.28
  4. Step 4: Simplify right side
    586.30x = 295,562.66
  5. Step 5: Solve for x
    x = 295,562.66/586.30
  6. Step 6: Final answer
    x = 504.12

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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.