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Finding the Fourth Proportional to 433.24, 598.14 and 302.20

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Solution

The fourth proportional to 433.24, 598.14 and 302.20 is: 417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 598.14 = 302.20 : x
  2. Step 2: Convert to fraction form
    433.24/598.14 = 302.20/x
  3. Step 3: Cross multiply
    433.24x = 598.14 × 302.20
  4. Step 4: Simplify right side
    433.24x = 180,757.91
  5. Step 5: Solve for x
    x = 180,757.91/433.24
  6. Step 6: Final answer
    x = 417.22

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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.