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Finding the Fourth Proportional to 401.56, 553.86 and 297.16

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Solution

The fourth proportional to 401.56, 553.86 and 297.16 is: 409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.56 : 553.86 = 297.16 : x
  2. Step 2: Convert to fraction form
    401.56/553.86 = 297.16/x
  3. Step 3: Cross multiply
    401.56x = 553.86 × 297.16
  4. Step 4: Simplify right side
    401.56x = 164,585.04
  5. Step 5: Solve for x
    x = 164,585.04/401.56
  6. Step 6: Final answer
    x = 409.86

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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.