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Finding the Fourth Proportional to 678.49, 937.19 and 468.29

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Solution

The fourth proportional to 678.49, 937.19 and 468.29 is: 646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.49 : 937.19 = 468.29 : x
  2. Step 2: Convert to fraction form
    678.49/937.19 = 468.29/x
  3. Step 3: Cross multiply
    678.49x = 937.19 × 468.29
  4. Step 4: Simplify right side
    678.49x = 438,880.22
  5. Step 5: Solve for x
    x = 438,880.22/678.49
  6. Step 6: Final answer
    x = 646.85

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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.