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Finding the Fourth Proportional to 322.06, 482.64 and 219.10

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Solution

The fourth proportional to 322.06, 482.64 and 219.10 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 482.64 = 219.10 : x
  2. Step 2: Convert to fraction form
    322.06/482.64 = 219.10/x
  3. Step 3: Cross multiply
    322.06x = 482.64 × 219.10
  4. Step 4: Simplify right side
    322.06x = 105,746.42
  5. Step 5: Solve for x
    x = 105,746.42/322.06
  6. Step 6: Final answer
    x = 328.34

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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.