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Finding the Fourth Proportional to 436, 601.76 and 252

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Solution

The fourth proportional to 436, 601.76 and 252 is: 347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436 : 601.76 = 252 : x
  2. Step 2: Convert to fraction form
    436/601.76 = 252/x
  3. Step 3: Cross multiply
    436x = 601.76 × 252
  4. Step 4: Simplify right side
    436x = 151,643.52
  5. Step 5: Solve for x
    x = 151,643.52/436
  6. Step 6: Final answer
    x = 347.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.