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Finding the Fourth Proportional to 302.17, 452.40 and 233.82

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Solution

The fourth proportional to 302.17, 452.40 and 233.82 is: 350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 452.40 = 233.82 : x
  2. Step 2: Convert to fraction form
    302.17/452.40 = 233.82/x
  3. Step 3: Cross multiply
    302.17x = 452.40 × 233.82
  4. Step 4: Simplify right side
    302.17x = 105,780.17
  5. Step 5: Solve for x
    x = 105,780.17/302.17
  6. Step 6: Final answer
    x = 350.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.