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Finding the Fourth Proportional to 387.79, 581.82 and 322.48

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Solution

The fourth proportional to 387.79, 581.82 and 322.48 is: 483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 581.82 = 322.48 : x
  2. Step 2: Convert to fraction form
    387.79/581.82 = 322.48/x
  3. Step 3: Cross multiply
    387.79x = 581.82 × 322.48
  4. Step 4: Simplify right side
    387.79x = 187,624.83
  5. Step 5: Solve for x
    x = 187,624.83/387.79
  6. Step 6: Final answer
    x = 483.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.