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Finding the Fourth Proportional to 400.53, 552.57 and 322.05

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Solution

The fourth proportional to 400.53, 552.57 and 322.05 is: 444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.53 : 552.57 = 322.05 : x
  2. Step 2: Convert to fraction form
    400.53/552.57 = 322.05/x
  3. Step 3: Cross multiply
    400.53x = 552.57 × 322.05
  4. Step 4: Simplify right side
    400.53x = 177,955.17
  5. Step 5: Solve for x
    x = 177,955.17/400.53
  6. Step 6: Final answer
    x = 444.30

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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.