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Finding the Fourth Proportional to 333.76, 503.12 and 314.94

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Solution

The fourth proportional to 333.76, 503.12 and 314.94 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 503.12 = 314.94 : x
  2. Step 2: Convert to fraction form
    333.76/503.12 = 314.94/x
  3. Step 3: Cross multiply
    333.76x = 503.12 × 314.94
  4. Step 4: Simplify right side
    333.76x = 158,452.61
  5. Step 5: Solve for x
    x = 158,452.61/333.76
  6. Step 6: Final answer
    x = 474.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.