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Finding the Fourth Proportional to 401.48, 553.60 and 291.02

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Solution

The fourth proportional to 401.48, 553.60 and 291.02 is: 401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 553.60 = 291.02 : x
  2. Step 2: Convert to fraction form
    401.48/553.60 = 291.02/x
  3. Step 3: Cross multiply
    401.48x = 553.60 × 291.02
  4. Step 4: Simplify right side
    401.48x = 161,106.27
  5. Step 5: Solve for x
    x = 161,106.27/401.48
  6. Step 6: Final answer
    x = 401.28

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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.