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Finding the Fourth Proportional to 537.48, 736.16 and 505.95

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Solution

The fourth proportional to 537.48, 736.16 and 505.95 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 736.16 = 505.95 : x
  2. Step 2: Convert to fraction form
    537.48/736.16 = 505.95/x
  3. Step 3: Cross multiply
    537.48x = 736.16 × 505.95
  4. Step 4: Simplify right side
    537.48x = 372,460.38
  5. Step 5: Solve for x
    x = 372,460.38/537.48
  6. Step 6: Final answer
    x = 692.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.