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Finding the Fourth Proportional to 496.34, 740.98 and 441.66

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Solution

The fourth proportional to 496.34, 740.98 and 441.66 is: 659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 740.98 = 441.66 : x
  2. Step 2: Convert to fraction form
    496.34/740.98 = 441.66/x
  3. Step 3: Cross multiply
    496.34x = 740.98 × 441.66
  4. Step 4: Simplify right side
    496.34x = 327,261.23
  5. Step 5: Solve for x
    x = 327,261.23/496.34
  6. Step 6: Final answer
    x = 659.35

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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.