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Finding the Fourth Proportional to 456.78, 681.83 and 402.11

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Solution

The fourth proportional to 456.78, 681.83 and 402.11 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 681.83 = 402.11 : x
  2. Step 2: Convert to fraction form
    456.78/681.83 = 402.11/x
  3. Step 3: Cross multiply
    456.78x = 681.83 × 402.11
  4. Step 4: Simplify right side
    456.78x = 274,168.26
  5. Step 5: Solve for x
    x = 274,168.26/456.78
  6. Step 6: Final answer
    x = 600.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.