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Finding the Fourth Proportional to 586.29, 809.10 and 320.73

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Solution

The fourth proportional to 586.29, 809.10 and 320.73 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 809.10 = 320.73 : x
  2. Step 2: Convert to fraction form
    586.29/809.10 = 320.73/x
  3. Step 3: Cross multiply
    586.29x = 809.10 × 320.73
  4. Step 4: Simplify right side
    586.29x = 259,502.64
  5. Step 5: Solve for x
    x = 259,502.64/586.29
  6. Step 6: Final answer
    x = 442.62

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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.