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Finding the Fourth Proportional to 586.46, 809.29 and 320.89

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Solution

The fourth proportional to 586.46, 809.29 and 320.89 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 809.29 = 320.89 : x
  2. Step 2: Convert to fraction form
    586.46/809.29 = 320.89/x
  3. Step 3: Cross multiply
    586.46x = 809.29 × 320.89
  4. Step 4: Simplify right side
    586.46x = 259,687.42
  5. Step 5: Solve for x
    x = 259,687.42/586.46
  6. Step 6: Final answer
    x = 442.81

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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.