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Finding the Fourth Proportional to 586.63, 878.12 and 322.41

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Solution

The fourth proportional to 586.63, 878.12 and 322.41 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.63 : 878.12 = 322.41 : x
  2. Step 2: Convert to fraction form
    586.63/878.12 = 322.41/x
  3. Step 3: Cross multiply
    586.63x = 878.12 × 322.41
  4. Step 4: Simplify right side
    586.63x = 283,119.37
  5. Step 5: Solve for x
    x = 283,119.37/586.63
  6. Step 6: Final answer
    x = 482.62

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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.