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Finding the Fourth Proportional to 322.45, 484.58 and 314.25

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Solution

The fourth proportional to 322.45, 484.58 and 314.25 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 484.58 = 314.25 : x
  2. Step 2: Convert to fraction form
    322.45/484.58 = 314.25/x
  3. Step 3: Cross multiply
    322.45x = 484.58 × 314.25
  4. Step 4: Simplify right side
    322.45x = 152,278.23
  5. Step 5: Solve for x
    x = 152,278.23/322.45
  6. Step 6: Final answer
    x = 472.26

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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.