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Finding the Fourth Proportional to 302.30, 452.58 and 233.95

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Solution

The fourth proportional to 302.30, 452.58 and 233.95 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 452.58 = 233.95 : x
  2. Step 2: Convert to fraction form
    302.30/452.58 = 233.95/x
  3. Step 3: Cross multiply
    302.30x = 452.58 × 233.95
  4. Step 4: Simplify right side
    302.30x = 105,881.09
  5. Step 5: Solve for x
    x = 105,881.09/302.30
  6. Step 6: Final answer
    x = 350.25

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