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Finding the Fourth Proportional to 496.41, 745.16 and 340.35

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Solution

The fourth proportional to 496.41, 745.16 and 340.35 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 745.16 = 340.35 : x
  2. Step 2: Convert to fraction form
    496.41/745.16 = 340.35/x
  3. Step 3: Cross multiply
    496.41x = 745.16 × 340.35
  4. Step 4: Simplify right side
    496.41x = 253,613.50
  5. Step 5: Solve for x
    x = 253,613.50/496.41
  6. Step 6: Final answer
    x = 510.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.