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Finding the Fourth Proportional to 493.48, 736.61 and 452.44

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Solution

The fourth proportional to 493.48, 736.61 and 452.44 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 736.61 = 452.44 : x
  2. Step 2: Convert to fraction form
    493.48/736.61 = 452.44/x
  3. Step 3: Cross multiply
    493.48x = 736.61 × 452.44
  4. Step 4: Simplify right side
    493.48x = 333,271.83
  5. Step 5: Solve for x
    x = 333,271.83/493.48
  6. Step 6: Final answer
    x = 675.35

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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.