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Finding the Fourth Proportional to 537.42, 745.41 and 515.55

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Solution

The fourth proportional to 537.42, 745.41 and 515.55 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 745.41 = 515.55 : x
  2. Step 2: Convert to fraction form
    537.42/745.41 = 515.55/x
  3. Step 3: Cross multiply
    537.42x = 745.41 × 515.55
  4. Step 4: Simplify right side
    537.42x = 384,296.13
  5. Step 5: Solve for x
    x = 384,296.13/537.42
  6. Step 6: Final answer
    x = 715.08

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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.