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Finding the Fourth Proportional to 590.88, 814.88 and 536.16

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Solution

The fourth proportional to 590.88, 814.88 and 536.16 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 814.88 = 536.16 : x
  2. Step 2: Convert to fraction form
    590.88/814.88 = 536.16/x
  3. Step 3: Cross multiply
    590.88x = 814.88 × 536.16
  4. Step 4: Simplify right side
    590.88x = 436,906.06
  5. Step 5: Solve for x
    x = 436,906.06/590.88
  6. Step 6: Final answer
    x = 739.42

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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.