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Finding the Fourth Proportional to 506.40, 760.74 and 437.22

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Solution

The fourth proportional to 506.40, 760.74 and 437.22 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 760.74 = 437.22 : x
  2. Step 2: Convert to fraction form
    506.40/760.74 = 437.22/x
  3. Step 3: Cross multiply
    506.40x = 760.74 × 437.22
  4. Step 4: Simplify right side
    506.40x = 332,610.74
  5. Step 5: Solve for x
    x = 332,610.74/506.40
  6. Step 6: Final answer
    x = 656.81

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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.