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Finding the Fourth Proportional to 377.48, 564.59 and 367.52

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Solution

The fourth proportional to 377.48, 564.59 and 367.52 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.48 : 564.59 = 367.52 : x
  2. Step 2: Convert to fraction form
    377.48/564.59 = 367.52/x
  3. Step 3: Cross multiply
    377.48x = 564.59 × 367.52
  4. Step 4: Simplify right side
    377.48x = 207,496.21
  5. Step 5: Solve for x
    x = 207,496.21/377.48
  6. Step 6: Final answer
    x = 549.68

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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.