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Finding the Fourth Proportional to 401.53, 554.12 and 226.93

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Solution

The fourth proportional to 401.53, 554.12 and 226.93 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 554.12 = 226.93 : x
  2. Step 2: Convert to fraction form
    401.53/554.12 = 226.93/x
  3. Step 3: Cross multiply
    401.53x = 554.12 × 226.93
  4. Step 4: Simplify right side
    401.53x = 125,746.45
  5. Step 5: Solve for x
    x = 125,746.45/401.53
  6. Step 6: Final answer
    x = 313.17

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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.