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Finding the Fourth Proportional to 506.88, 756.42 and 446.16

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Solution

The fourth proportional to 506.88, 756.42 and 446.16 is: 665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 756.42 = 446.16 : x
  2. Step 2: Convert to fraction form
    506.88/756.42 = 446.16/x
  3. Step 3: Cross multiply
    506.88x = 756.42 × 446.16
  4. Step 4: Simplify right side
    506.88x = 337,484.35
  5. Step 5: Solve for x
    x = 337,484.35/506.88
  6. Step 6: Final answer
    x = 665.81

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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.