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Finding the Fourth Proportional to 610.36, 841.67 and 433.24

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Solution

The fourth proportional to 610.36, 841.67 and 433.24 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.36 : 841.67 = 433.24 : x
  2. Step 2: Convert to fraction form
    610.36/841.67 = 433.24/x
  3. Step 3: Cross multiply
    610.36x = 841.67 × 433.24
  4. Step 4: Simplify right side
    610.36x = 364,645.11
  5. Step 5: Solve for x
    x = 364,645.11/610.36
  6. Step 6: Final answer
    x = 597.43

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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.