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Finding the Fourth Proportional to 525.30, 787.35 and 264.78

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Solution

The fourth proportional to 525.30, 787.35 and 264.78 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 787.35 = 264.78 : x
  2. Step 2: Convert to fraction form
    525.30/787.35 = 264.78/x
  3. Step 3: Cross multiply
    525.30x = 787.35 × 264.78
  4. Step 4: Simplify right side
    525.30x = 208,474.53
  5. Step 5: Solve for x
    x = 208,474.53/525.30
  6. Step 6: Final answer
    x = 396.87

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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.