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Finding the Fourth Proportional to 767.67, 1,152.32 and 357.21

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Solution

The fourth proportional to 767.67, 1,152.32 and 357.21 is: 536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.67 : 1,152.32 = 357.21 : x
  2. Step 2: Convert to fraction form
    767.67/1,152.32 = 357.21/x
  3. Step 3: Cross multiply
    767.67x = 1,152.32 × 357.21
  4. Step 4: Simplify right side
    767.67x = 411,612.68
  5. Step 5: Solve for x
    x = 411,612.68/767.67
  6. Step 6: Final answer
    x = 536.18

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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.