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Finding the Fourth Proportional to 357.23, 534.66 and 262.91

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Solution

The fourth proportional to 357.23, 534.66 and 262.91 is: 393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.23 : 534.66 = 262.91 : x
  2. Step 2: Convert to fraction form
    357.23/534.66 = 262.91/x
  3. Step 3: Cross multiply
    357.23x = 534.66 × 262.91
  4. Step 4: Simplify right side
    357.23x = 140,567.46
  5. Step 5: Solve for x
    x = 140,567.46/357.23
  6. Step 6: Final answer
    x = 393.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.