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Finding the Fourth Proportional to 768.22, 1,152.60 and 357.40

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Solution

The fourth proportional to 768.22, 1,152.60 and 357.40 is: 536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,152.60 = 357.40 : x
  2. Step 2: Convert to fraction form
    768.22/1,152.60 = 357.40/x
  3. Step 3: Cross multiply
    768.22x = 1,152.60 × 357.40
  4. Step 4: Simplify right side
    768.22x = 411,939.24
  5. Step 5: Solve for x
    x = 411,939.24/768.22
  6. Step 6: Final answer
    x = 536.23

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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.