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Finding the Fourth Proportional to 433.59, 598.35 and 267.81

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Solution

The fourth proportional to 433.59, 598.35 and 267.81 is: 369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.59 : 598.35 = 267.81 : x
  2. Step 2: Convert to fraction form
    433.59/598.35 = 267.81/x
  3. Step 3: Cross multiply
    433.59x = 598.35 × 267.81
  4. Step 4: Simplify right side
    433.59x = 160,244.11
  5. Step 5: Solve for x
    x = 160,244.11/433.59
  6. Step 6: Final answer
    x = 369.58

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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.