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Finding the Fourth Proportional to 537.36, 745.02 and 526.80

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Solution

The fourth proportional to 537.36, 745.02 and 526.80 is: 730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.36 : 745.02 = 526.80 : x
  2. Step 2: Convert to fraction form
    537.36/745.02 = 526.80/x
  3. Step 3: Cross multiply
    537.36x = 745.02 × 526.80
  4. Step 4: Simplify right side
    537.36x = 392,476.54
  5. Step 5: Solve for x
    x = 392,476.54/537.36
  6. Step 6: Final answer
    x = 730.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.