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Finding the Fourth Proportional to 693.78, 958.40 and 484.53

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Solution

The fourth proportional to 693.78, 958.40 and 484.53 is: 669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.78 : 958.40 = 484.53 : x
  2. Step 2: Convert to fraction form
    693.78/958.40 = 484.53/x
  3. Step 3: Cross multiply
    693.78x = 958.40 × 484.53
  4. Step 4: Simplify right side
    693.78x = 464,373.55
  5. Step 5: Solve for x
    x = 464,373.55/693.78
  6. Step 6: Final answer
    x = 669.34

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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.