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Finding the Fourth Proportional to 401.71, 554.32 and 224.66

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Solution

The fourth proportional to 401.71, 554.32 and 224.66 is: 310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.71 : 554.32 = 224.66 : x
  2. Step 2: Convert to fraction form
    401.71/554.32 = 224.66/x
  3. Step 3: Cross multiply
    401.71x = 554.32 × 224.66
  4. Step 4: Simplify right side
    401.71x = 124,533.53
  5. Step 5: Solve for x
    x = 124,533.53/401.71
  6. Step 6: Final answer
    x = 310.01

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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.