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Finding the Fourth Proportional to 377.56, 565.74 and 269.16

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Solution

The fourth proportional to 377.56, 565.74 and 269.16 is: 403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 565.74 = 269.16 : x
  2. Step 2: Convert to fraction form
    377.56/565.74 = 269.16/x
  3. Step 3: Cross multiply
    377.56x = 565.74 × 269.16
  4. Step 4: Simplify right side
    377.56x = 152,274.58
  5. Step 5: Solve for x
    x = 152,274.58/377.56
  6. Step 6: Final answer
    x = 403.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.