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Finding the Fourth Proportional to 322.02, 482.46 and 257.76

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Solution

The fourth proportional to 322.02, 482.46 and 257.76 is: 386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 482.46 = 257.76 : x
  2. Step 2: Convert to fraction form
    322.02/482.46 = 257.76/x
  3. Step 3: Cross multiply
    322.02x = 482.46 × 257.76
  4. Step 4: Simplify right side
    322.02x = 124,358.89
  5. Step 5: Solve for x
    x = 124,358.89/322.02
  6. Step 6: Final answer
    x = 386.18

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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.