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Finding the Fourth Proportional to 685.99, 946.52 and 437.21

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Solution

The fourth proportional to 685.99, 946.52 and 437.21 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.99 : 946.52 = 437.21 : x
  2. Step 2: Convert to fraction form
    685.99/946.52 = 437.21/x
  3. Step 3: Cross multiply
    685.99x = 946.52 × 437.21
  4. Step 4: Simplify right side
    685.99x = 413,821.09
  5. Step 5: Solve for x
    x = 413,821.09/685.99
  6. Step 6: Final answer
    x = 603.25

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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.