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Finding the Fourth Proportional to 401.53, 552.61 and 340.17

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Solution

The fourth proportional to 401.53, 552.61 and 340.17 is: 468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 552.61 = 340.17 : x
  2. Step 2: Convert to fraction form
    401.53/552.61 = 340.17/x
  3. Step 3: Cross multiply
    401.53x = 552.61 × 340.17
  4. Step 4: Simplify right side
    401.53x = 187,981.34
  5. Step 5: Solve for x
    x = 187,981.34/401.53
  6. Step 6: Final answer
    x = 468.16

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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.