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Finding the Fourth Proportional to 525.51, 788.00 and 261.95

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Solution

The fourth proportional to 525.51, 788.00 and 261.95 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 788.00 = 261.95 : x
  2. Step 2: Convert to fraction form
    525.51/788.00 = 261.95/x
  3. Step 3: Cross multiply
    525.51x = 788.00 × 261.95
  4. Step 4: Simplify right side
    525.51x = 206,411.35
  5. Step 5: Solve for x
    x = 206,411.35/525.51
  6. Step 6: Final answer
    x = 392.78

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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.