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Finding the Fourth Proportional to 525.84, 788.94 and 237.39

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Solution

The fourth proportional to 525.84, 788.94 and 237.39 is: 356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 788.94 = 237.39 : x
  2. Step 2: Convert to fraction form
    525.84/788.94 = 237.39/x
  3. Step 3: Cross multiply
    525.84x = 788.94 × 237.39
  4. Step 4: Simplify right side
    525.84x = 187,286.47
  5. Step 5: Solve for x
    x = 187,286.47/525.84
  6. Step 6: Final answer
    x = 356.17

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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.