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Finding the Fourth Proportional to 456.84, 681.87 and 402.17

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Solution

The fourth proportional to 456.84, 681.87 and 402.17 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 681.87 = 402.17 : x
  2. Step 2: Convert to fraction form
    456.84/681.87 = 402.17/x
  3. Step 3: Cross multiply
    456.84x = 681.87 × 402.17
  4. Step 4: Simplify right side
    456.84x = 274,223.49
  5. Step 5: Solve for x
    x = 274,223.49/456.84
  6. Step 6: Final answer
    x = 600.26

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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.