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Finding the Fourth Proportional to 357.24, 534.64 and 262.90

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Solution

The fourth proportional to 357.24, 534.64 and 262.90 is: 393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 534.64 = 262.90 : x
  2. Step 2: Convert to fraction form
    357.24/534.64 = 262.90/x
  3. Step 3: Cross multiply
    357.24x = 534.64 × 262.90
  4. Step 4: Simplify right side
    357.24x = 140,556.86
  5. Step 5: Solve for x
    x = 140,556.86/357.24
  6. Step 6: Final answer
    x = 393.45

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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.