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Finding the Fourth Proportional to 302.29, 417.41 and 240.46

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Solution

The fourth proportional to 302.29, 417.41 and 240.46 is: 332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.29 : 417.41 = 240.46 : x
  2. Step 2: Convert to fraction form
    302.29/417.41 = 240.46/x
  3. Step 3: Cross multiply
    302.29x = 417.41 × 240.46
  4. Step 4: Simplify right side
    302.29x = 100,370.41
  5. Step 5: Solve for x
    x = 100,370.41/302.29
  6. Step 6: Final answer
    x = 332.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.