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Finding the Fourth Proportional to 688.53, 950.14 and 378.03

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Solution

The fourth proportional to 688.53, 950.14 and 378.03 is: 521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 950.14 = 378.03 : x
  2. Step 2: Convert to fraction form
    688.53/950.14 = 378.03/x
  3. Step 3: Cross multiply
    688.53x = 950.14 × 378.03
  4. Step 4: Simplify right side
    688.53x = 359,181.42
  5. Step 5: Solve for x
    x = 359,181.42/688.53
  6. Step 6: Final answer
    x = 521.66

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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.