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Finding the Fourth Proportional to 401.64, 554.06 and 268.89

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Solution

The fourth proportional to 401.64, 554.06 and 268.89 is: 370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 554.06 = 268.89 : x
  2. Step 2: Convert to fraction form
    401.64/554.06 = 268.89/x
  3. Step 3: Cross multiply
    401.64x = 554.06 × 268.89
  4. Step 4: Simplify right side
    401.64x = 148,981.23
  5. Step 5: Solve for x
    x = 148,981.23/401.64
  6. Step 6: Final answer
    x = 370.93

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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.