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Finding the Fourth Proportional to 633.16, 873.66 and 400.12

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Solution

The fourth proportional to 633.16, 873.66 and 400.12 is: 552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 873.66 = 400.12 : x
  2. Step 2: Convert to fraction form
    633.16/873.66 = 400.12/x
  3. Step 3: Cross multiply
    633.16x = 873.66 × 400.12
  4. Step 4: Simplify right side
    633.16x = 349,568.84
  5. Step 5: Solve for x
    x = 349,568.84/633.16
  6. Step 6: Final answer
    x = 552.10

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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.