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Finding the Fourth Proportional to 590.22, 815.94 and 536.22

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Solution

The fourth proportional to 590.22, 815.94 and 536.22 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 815.94 = 536.22 : x
  2. Step 2: Convert to fraction form
    590.22/815.94 = 536.22/x
  3. Step 3: Cross multiply
    590.22x = 815.94 × 536.22
  4. Step 4: Simplify right side
    590.22x = 437,523.35
  5. Step 5: Solve for x
    x = 437,523.35/590.22
  6. Step 6: Final answer
    x = 741.29

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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.