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Finding the Fourth Proportional to 663.02, 993.93 and 278.06

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Solution

The fourth proportional to 663.02, 993.93 and 278.06 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 993.93 = 278.06 : x
  2. Step 2: Convert to fraction form
    663.02/993.93 = 278.06/x
  3. Step 3: Cross multiply
    663.02x = 993.93 × 278.06
  4. Step 4: Simplify right side
    663.02x = 276,372.18
  5. Step 5: Solve for x
    x = 276,372.18/663.02
  6. Step 6: Final answer
    x = 416.84

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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.