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Finding the Fourth Proportional to 436.98, 598.71 and 431.22

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Solution

The fourth proportional to 436.98, 598.71 and 431.22 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.98 : 598.71 = 431.22 : x
  2. Step 2: Convert to fraction form
    436.98/598.71 = 431.22/x
  3. Step 3: Cross multiply
    436.98x = 598.71 × 431.22
  4. Step 4: Simplify right side
    436.98x = 258,175.73
  5. Step 5: Solve for x
    x = 258,175.73/436.98
  6. Step 6: Final answer
    x = 590.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.