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Finding the Fourth Proportional to 525.78, 788.28 and 265.65

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Solution

The fourth proportional to 525.78, 788.28 and 265.65 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 788.28 = 265.65 : x
  2. Step 2: Convert to fraction form
    525.78/788.28 = 265.65/x
  3. Step 3: Cross multiply
    525.78x = 788.28 × 265.65
  4. Step 4: Simplify right side
    525.78x = 209,406.58
  5. Step 5: Solve for x
    x = 209,406.58/525.78
  6. Step 6: Final answer
    x = 398.28

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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.