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Finding the Fourth Proportional to 689.14, 951 and 378.64

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Solution

The fourth proportional to 689.14, 951 and 378.64 is: 522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 951 = 378.64 : x
  2. Step 2: Convert to fraction form
    689.14/951 = 378.64/x
  3. Step 3: Cross multiply
    689.14x = 951 × 378.64
  4. Step 4: Simplify right side
    689.14x = 360,086.64
  5. Step 5: Solve for x
    x = 360,086.64/689.14
  6. Step 6: Final answer
    x = 522.52

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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.