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Finding the Fourth Proportional to 687.79, 949.16 and 377.29

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Solution

The fourth proportional to 687.79, 949.16 and 377.29 is: 520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.79 : 949.16 = 377.29 : x
  2. Step 2: Convert to fraction form
    687.79/949.16 = 377.29/x
  3. Step 3: Cross multiply
    687.79x = 949.16 × 377.29
  4. Step 4: Simplify right side
    687.79x = 358,108.58
  5. Step 5: Solve for x
    x = 358,108.58/687.79
  6. Step 6: Final answer
    x = 520.67

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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.