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Finding the Fourth Proportional to 535.97, 799.15 and 526.25

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Solution

The fourth proportional to 535.97, 799.15 and 526.25 is: 784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 799.15 = 526.25 : x
  2. Step 2: Convert to fraction form
    535.97/799.15 = 526.25/x
  3. Step 3: Cross multiply
    535.97x = 799.15 × 526.25
  4. Step 4: Simplify right side
    535.97x = 420,552.69
  5. Step 5: Solve for x
    x = 420,552.69/535.97
  6. Step 6: Final answer
    x = 784.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.