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Finding the Fourth Proportional to 767.98, 1,152.35 and 357.41

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Solution

The fourth proportional to 767.98, 1,152.35 and 357.41 is: 536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.98 : 1,152.35 = 357.41 : x
  2. Step 2: Convert to fraction form
    767.98/1,152.35 = 357.41/x
  3. Step 3: Cross multiply
    767.98x = 1,152.35 × 357.41
  4. Step 4: Simplify right side
    767.98x = 411,858.37
  5. Step 5: Solve for x
    x = 411,858.37/767.98
  6. Step 6: Final answer
    x = 536.29

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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.