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Finding the Fourth Proportional to 496.95, 741.23 and 462.93

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Solution

The fourth proportional to 496.95, 741.23 and 462.93 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.95 : 741.23 = 462.93 : x
  2. Step 2: Convert to fraction form
    496.95/741.23 = 462.93/x
  3. Step 3: Cross multiply
    496.95x = 741.23 × 462.93
  4. Step 4: Simplify right side
    496.95x = 343,135.29
  5. Step 5: Solve for x
    x = 343,135.29/496.95
  6. Step 6: Final answer
    x = 690.48

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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.