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Finding the Fourth Proportional to 601.99, 903.08 and 191.16

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Solution

The fourth proportional to 601.99, 903.08 and 191.16 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.99 : 903.08 = 191.16 : x
  2. Step 2: Convert to fraction form
    601.99/903.08 = 191.16/x
  3. Step 3: Cross multiply
    601.99x = 903.08 × 191.16
  4. Step 4: Simplify right side
    601.99x = 172,632.77
  5. Step 5: Solve for x
    x = 172,632.77/601.99
  6. Step 6: Final answer
    x = 286.77

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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.