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Finding the Fourth Proportional to 333.14, 460.05 and 314.96

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Solution

The fourth proportional to 333.14, 460.05 and 314.96 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 460.05 = 314.96 : x
  2. Step 2: Convert to fraction form
    333.14/460.05 = 314.96/x
  3. Step 3: Cross multiply
    333.14x = 460.05 × 314.96
  4. Step 4: Simplify right side
    333.14x = 144,897.35
  5. Step 5: Solve for x
    x = 144,897.35/333.14
  6. Step 6: Final answer
    x = 434.94

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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.