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Finding the Fourth Proportional to 433.64, 597.17 and 302.42

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Solution

The fourth proportional to 433.64, 597.17 and 302.42 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 597.17 = 302.42 : x
  2. Step 2: Convert to fraction form
    433.64/597.17 = 302.42/x
  3. Step 3: Cross multiply
    433.64x = 597.17 × 302.42
  4. Step 4: Simplify right side
    433.64x = 180,594.64
  5. Step 5: Solve for x
    x = 180,594.64/433.64
  6. Step 6: Final answer
    x = 416.46

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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.