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Finding the Fourth Proportional to 333.16, 499.06 and 278.48

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Solution

The fourth proportional to 333.16, 499.06 and 278.48 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.16 : 499.06 = 278.48 : x
  2. Step 2: Convert to fraction form
    333.16/499.06 = 278.48/x
  3. Step 3: Cross multiply
    333.16x = 499.06 × 278.48
  4. Step 4: Simplify right side
    333.16x = 138,978.23
  5. Step 5: Solve for x
    x = 138,978.23/333.16
  6. Step 6: Final answer
    x = 417.15

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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.