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Finding the Fourth Proportional to 603.72, 904.86 and 278.76

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Solution

The fourth proportional to 603.72, 904.86 and 278.76 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 904.86 = 278.76 : x
  2. Step 2: Convert to fraction form
    603.72/904.86 = 278.76/x
  3. Step 3: Cross multiply
    603.72x = 904.86 × 278.76
  4. Step 4: Simplify right side
    603.72x = 252,238.77
  5. Step 5: Solve for x
    x = 252,238.77/603.72
  6. Step 6: Final answer
    x = 417.81

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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.