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Finding the Fourth Proportional to 377.06, 564.30 and 367.34

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Solution

The fourth proportional to 377.06, 564.30 and 367.34 is: 549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 564.30 = 367.34 : x
  2. Step 2: Convert to fraction form
    377.06/564.30 = 367.34/x
  3. Step 3: Cross multiply
    377.06x = 564.30 × 367.34
  4. Step 4: Simplify right side
    377.06x = 207,287.14
  5. Step 5: Solve for x
    x = 207,287.14/377.06
  6. Step 6: Final answer
    x = 549.75

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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.