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Finding the Fourth Proportional to 433.76, 598.36 and 267.84

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Solution

The fourth proportional to 433.76, 598.36 and 267.84 is: 369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 598.36 = 267.84 : x
  2. Step 2: Convert to fraction form
    433.76/598.36 = 267.84/x
  3. Step 3: Cross multiply
    433.76x = 598.36 × 267.84
  4. Step 4: Simplify right side
    433.76x = 160,264.74
  5. Step 5: Solve for x
    x = 160,264.74/433.76
  6. Step 6: Final answer
    x = 369.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.