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Finding the Fourth Proportional to 586.12, 808.84 and 324.14

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Solution

The fourth proportional to 586.12, 808.84 and 324.14 is: 447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.12 : 808.84 = 324.14 : x
  2. Step 2: Convert to fraction form
    586.12/808.84 = 324.14/x
  3. Step 3: Cross multiply
    586.12x = 808.84 × 324.14
  4. Step 4: Simplify right side
    586.12x = 262,177.40
  5. Step 5: Solve for x
    x = 262,177.40/586.12
  6. Step 6: Final answer
    x = 447.31

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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.