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Finding the Fourth Proportional to 601, 901.86 and 259

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Solution

The fourth proportional to 601, 901.86 and 259 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 901.86 = 259 : x
  2. Step 2: Convert to fraction form
    601/901.86 = 259/x
  3. Step 3: Cross multiply
    601x = 901.86 × 259
  4. Step 4: Simplify right side
    601x = 233,581.74
  5. Step 5: Solve for x
    x = 233,581.74/601
  6. Step 6: Final answer
    x = 388.66

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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.