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Finding the Fourth Proportional to 337.84, 503.98 and 314.56

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Solution

The fourth proportional to 337.84, 503.98 and 314.56 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 503.98 = 314.56 : x
  2. Step 2: Convert to fraction form
    337.84/503.98 = 314.56/x
  3. Step 3: Cross multiply
    337.84x = 503.98 × 314.56
  4. Step 4: Simplify right side
    337.84x = 158,531.95
  5. Step 5: Solve for x
    x = 158,531.95/337.84
  6. Step 6: Final answer
    x = 469.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.