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Finding the Fourth Proportional to 525.32, 787.78 and 236.56

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Solution

The fourth proportional to 525.32, 787.78 and 236.56 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.32 : 787.78 = 236.56 : x
  2. Step 2: Convert to fraction form
    525.32/787.78 = 236.56/x
  3. Step 3: Cross multiply
    525.32x = 787.78 × 236.56
  4. Step 4: Simplify right side
    525.32x = 186,357.24
  5. Step 5: Solve for x
    x = 186,357.24/525.32
  6. Step 6: Final answer
    x = 354.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.