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Finding the Fourth Proportional to 591.22, 817.32 and 537.22

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Solution

The fourth proportional to 591.22, 817.32 and 537.22 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 817.32 = 537.22 : x
  2. Step 2: Convert to fraction form
    591.22/817.32 = 537.22/x
  3. Step 3: Cross multiply
    591.22x = 817.32 × 537.22
  4. Step 4: Simplify right side
    591.22x = 439,080.65
  5. Step 5: Solve for x
    x = 439,080.65/591.22
  6. Step 6: Final answer
    x = 742.67

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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.