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Finding the Fourth Proportional to 496.02, 740.49 and 463.08

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Solution

The fourth proportional to 496.02, 740.49 and 463.08 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 740.49 = 463.08 : x
  2. Step 2: Convert to fraction form
    496.02/740.49 = 463.08/x
  3. Step 3: Cross multiply
    496.02x = 740.49 × 463.08
  4. Step 4: Simplify right side
    496.02x = 342,906.11
  5. Step 5: Solve for x
    x = 342,906.11/496.02
  6. Step 6: Final answer
    x = 691.32

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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.