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Finding the Fourth Proportional to 401.34, 553.69 and 307.92

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Solution

The fourth proportional to 401.34, 553.69 and 307.92 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.34 : 553.69 = 307.92 : x
  2. Step 2: Convert to fraction form
    401.34/553.69 = 307.92/x
  3. Step 3: Cross multiply
    401.34x = 553.69 × 307.92
  4. Step 4: Simplify right side
    401.34x = 170,490.69
  5. Step 5: Solve for x
    x = 170,490.69/401.34
  6. Step 6: Final answer
    x = 424.80

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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.