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Finding the Fourth Proportional to 370.08, 554.50 and 261.67

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Solution

The fourth proportional to 370.08, 554.50 and 261.67 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.08 : 554.50 = 261.67 : x
  2. Step 2: Convert to fraction form
    370.08/554.50 = 261.67/x
  3. Step 3: Cross multiply
    370.08x = 554.50 × 261.67
  4. Step 4: Simplify right side
    370.08x = 145,096.02
  5. Step 5: Solve for x
    x = 145,096.02/370.08
  6. Step 6: Final answer
    x = 392.07

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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.