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Finding the Fourth Proportional to 586.72, 809.65 and 321.16

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Solution

The fourth proportional to 586.72, 809.65 and 321.16 is: 443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 809.65 = 321.16 : x
  2. Step 2: Convert to fraction form
    586.72/809.65 = 321.16/x
  3. Step 3: Cross multiply
    586.72x = 809.65 × 321.16
  4. Step 4: Simplify right side
    586.72x = 260,027.19
  5. Step 5: Solve for x
    x = 260,027.19/586.72
  6. Step 6: Final answer
    x = 443.19

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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.