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Finding the Fourth Proportional to 334.86, 462.72 and 302.46

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Solution

The fourth proportional to 334.86, 462.72 and 302.46 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 462.72 = 302.46 : x
  2. Step 2: Convert to fraction form
    334.86/462.72 = 302.46/x
  3. Step 3: Cross multiply
    334.86x = 462.72 × 302.46
  4. Step 4: Simplify right side
    334.86x = 139,954.29
  5. Step 5: Solve for x
    x = 139,954.29/334.86
  6. Step 6: Final answer
    x = 417.95

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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.