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Finding the Fourth Proportional to 590.97, 816.98 and 536.97

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Solution

The fourth proportional to 590.97, 816.98 and 536.97 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.97 : 816.98 = 536.97 : x
  2. Step 2: Convert to fraction form
    590.97/816.98 = 536.97/x
  3. Step 3: Cross multiply
    590.97x = 816.98 × 536.97
  4. Step 4: Simplify right side
    590.97x = 438,691.07
  5. Step 5: Solve for x
    x = 438,691.07/590.97
  6. Step 6: Final answer
    x = 742.32

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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.