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Finding the Fourth Proportional to 601.12, 901.77 and 276.49

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Solution

The fourth proportional to 601.12, 901.77 and 276.49 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 901.77 = 276.49 : x
  2. Step 2: Convert to fraction form
    601.12/901.77 = 276.49/x
  3. Step 3: Cross multiply
    601.12x = 901.77 × 276.49
  4. Step 4: Simplify right side
    601.12x = 249,330.39
  5. Step 5: Solve for x
    x = 249,330.39/601.12
  6. Step 6: Final answer
    x = 414.78

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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.