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Finding the Fourth Proportional to 603.20, 904.92 and 278.72

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Solution

The fourth proportional to 603.20, 904.92 and 278.72 is: 418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 904.92 = 278.72 : x
  2. Step 2: Convert to fraction form
    603.20/904.92 = 278.72/x
  3. Step 3: Cross multiply
    603.20x = 904.92 × 278.72
  4. Step 4: Simplify right side
    603.20x = 252,219.30
  5. Step 5: Solve for x
    x = 252,219.30/603.20
  6. Step 6: Final answer
    x = 418.14

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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.