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Finding the Fourth Proportional to 689.95, 952.16 and 395.25

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Solution

The fourth proportional to 689.95, 952.16 and 395.25 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 952.16 = 395.25 : x
  2. Step 2: Convert to fraction form
    689.95/952.16 = 395.25/x
  3. Step 3: Cross multiply
    689.95x = 952.16 × 395.25
  4. Step 4: Simplify right side
    689.95x = 376,341.24
  5. Step 5: Solve for x
    x = 376,341.24/689.95
  6. Step 6: Final answer
    x = 545.46

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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.