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Finding the Fourth Proportional to 494.18, 741.90 and 403.06

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Solution

The fourth proportional to 494.18, 741.90 and 403.06 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.18 : 741.90 = 403.06 : x
  2. Step 2: Convert to fraction form
    494.18/741.90 = 403.06/x
  3. Step 3: Cross multiply
    494.18x = 741.90 × 403.06
  4. Step 4: Simplify right side
    494.18x = 299,026.50
  5. Step 5: Solve for x
    x = 299,026.50/494.18
  6. Step 6: Final answer
    x = 605.10

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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.