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Finding the Fourth Proportional to 377.48, 564.84 and 238.16

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Solution

The fourth proportional to 377.48, 564.84 and 238.16 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.48 : 564.84 = 238.16 : x
  2. Step 2: Convert to fraction form
    377.48/564.84 = 238.16/x
  3. Step 3: Cross multiply
    377.48x = 564.84 × 238.16
  4. Step 4: Simplify right side
    377.48x = 134,522.29
  5. Step 5: Solve for x
    x = 134,522.29/377.48
  6. Step 6: Final answer
    x = 356.37

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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.