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Finding the Fourth Proportional to 506.95, 697.83 and 437.24

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Solution

The fourth proportional to 506.95, 697.83 and 437.24 is: 601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 697.83 = 437.24 : x
  2. Step 2: Convert to fraction form
    506.95/697.83 = 437.24/x
  3. Step 3: Cross multiply
    506.95x = 697.83 × 437.24
  4. Step 4: Simplify right side
    506.95x = 305,119.19
  5. Step 5: Solve for x
    x = 305,119.19/506.95
  6. Step 6: Final answer
    x = 601.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.