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Finding the Fourth Proportional to 586.42, 809.22 and 320.84

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Solution

The fourth proportional to 586.42, 809.22 and 320.84 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.42 : 809.22 = 320.84 : x
  2. Step 2: Convert to fraction form
    586.42/809.22 = 320.84/x
  3. Step 3: Cross multiply
    586.42x = 809.22 × 320.84
  4. Step 4: Simplify right side
    586.42x = 259,630.14
  5. Step 5: Solve for x
    x = 259,630.14/586.42
  6. Step 6: Final answer
    x = 442.74

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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.