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Finding the Fourth Proportional to 525.86, 787.52 and 265.52

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Solution

The fourth proportional to 525.86, 787.52 and 265.52 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.86 : 787.52 = 265.52 : x
  2. Step 2: Convert to fraction form
    525.86/787.52 = 265.52/x
  3. Step 3: Cross multiply
    525.86x = 787.52 × 265.52
  4. Step 4: Simplify right side
    525.86x = 209,102.31
  5. Step 5: Solve for x
    x = 209,102.31/525.86
  6. Step 6: Final answer
    x = 397.64

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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.