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Finding the Fourth Proportional to 586.84, 809.76 and 324.78

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Solution

The fourth proportional to 586.84, 809.76 and 324.78 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 809.76 = 324.78 : x
  2. Step 2: Convert to fraction form
    586.84/809.76 = 324.78/x
  3. Step 3: Cross multiply
    586.84x = 809.76 × 324.78
  4. Step 4: Simplify right side
    586.84x = 262,993.85
  5. Step 5: Solve for x
    x = 262,993.85/586.84
  6. Step 6: Final answer
    x = 448.15

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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.