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Finding the Fourth Proportional to 740.92, 1,110.50 and 330.04

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Solution

The fourth proportional to 740.92, 1,110.50 and 330.04 is: 494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,110.50 = 330.04 : x
  2. Step 2: Convert to fraction form
    740.92/1,110.50 = 330.04/x
  3. Step 3: Cross multiply
    740.92x = 1,110.50 × 330.04
  4. Step 4: Simplify right side
    740.92x = 366,509.42
  5. Step 5: Solve for x
    x = 366,509.42/740.92
  6. Step 6: Final answer
    x = 494.67

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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.