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Finding the Fourth Proportional to 324.61, 448.46 and 322.18

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Solution

The fourth proportional to 324.61, 448.46 and 322.18 is: 445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.61 : 448.46 = 322.18 : x
  2. Step 2: Convert to fraction form
    324.61/448.46 = 322.18/x
  3. Step 3: Cross multiply
    324.61x = 448.46 × 322.18
  4. Step 4: Simplify right side
    324.61x = 144,484.84
  5. Step 5: Solve for x
    x = 144,484.84/324.61
  6. Step 6: Final answer
    x = 445.10

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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.