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Finding the Fourth Proportional to 433.52, 598.01 and 267.60

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Solution

The fourth proportional to 433.52, 598.01 and 267.60 is: 369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.52 : 598.01 = 267.60 : x
  2. Step 2: Convert to fraction form
    433.52/598.01 = 267.60/x
  3. Step 3: Cross multiply
    433.52x = 598.01 × 267.60
  4. Step 4: Simplify right side
    433.52x = 160,026.14
  5. Step 5: Solve for x
    x = 160,026.14/433.52
  6. Step 6: Final answer
    x = 369.14

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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.