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Finding the Fourth Proportional to 740.46, 1,110.70 and 278.22

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Solution

The fourth proportional to 740.46, 1,110.70 and 278.22 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.46 : 1,110.70 = 278.22 : x
  2. Step 2: Convert to fraction form
    740.46/1,110.70 = 278.22/x
  3. Step 3: Cross multiply
    740.46x = 1,110.70 × 278.22
  4. Step 4: Simplify right side
    740.46x = 309,018.95
  5. Step 5: Solve for x
    x = 309,018.95/740.46
  6. Step 6: Final answer
    x = 417.33

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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.