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Finding the Fourth Proportional to 689.50, 952.28 and 468.06

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Solution

The fourth proportional to 689.50, 952.28 and 468.06 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 952.28 = 468.06 : x
  2. Step 2: Convert to fraction form
    689.50/952.28 = 468.06/x
  3. Step 3: Cross multiply
    689.50x = 952.28 × 468.06
  4. Step 4: Simplify right side
    689.50x = 445,721.84
  5. Step 5: Solve for x
    x = 445,721.84/689.50
  6. Step 6: Final answer
    x = 646.45

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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.