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Finding the Fourth Proportional to 433.82, 598.80 and 302.87

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Solution

The fourth proportional to 433.82, 598.80 and 302.87 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 598.80 = 302.87 : x
  2. Step 2: Convert to fraction form
    433.82/598.80 = 302.87/x
  3. Step 3: Cross multiply
    433.82x = 598.80 × 302.87
  4. Step 4: Simplify right side
    433.82x = 181,358.56
  5. Step 5: Solve for x
    x = 181,358.56/433.82
  6. Step 6: Final answer
    x = 418.05

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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.