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Finding the Fourth Proportional to 586.84, 809.90 and 324.91

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Solution

The fourth proportional to 586.84, 809.90 and 324.91 is: 448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.84 : 809.90 = 324.91 : x
  2. Step 2: Convert to fraction form
    586.84/809.90 = 324.91/x
  3. Step 3: Cross multiply
    586.84x = 809.90 × 324.91
  4. Step 4: Simplify right side
    586.84x = 263,144.61
  5. Step 5: Solve for x
    x = 263,144.61/586.84
  6. Step 6: Final answer
    x = 448.41

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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.