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Finding the Fourth Proportional to 494.77, 741.33 and 357.61

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Solution

The fourth proportional to 494.77, 741.33 and 357.61 is: 535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.77 : 741.33 = 357.61 : x
  2. Step 2: Convert to fraction form
    494.77/741.33 = 357.61/x
  3. Step 3: Cross multiply
    494.77x = 741.33 × 357.61
  4. Step 4: Simplify right side
    494.77x = 265,107.02
  5. Step 5: Solve for x
    x = 265,107.02/494.77
  6. Step 6: Final answer
    x = 535.82

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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.