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Finding the Fourth Proportional to 503.53, 754.98 and 210.95

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Solution

The fourth proportional to 503.53, 754.98 and 210.95 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.53 : 754.98 = 210.95 : x
  2. Step 2: Convert to fraction form
    503.53/754.98 = 210.95/x
  3. Step 3: Cross multiply
    503.53x = 754.98 × 210.95
  4. Step 4: Simplify right side
    503.53x = 159,261.30
  5. Step 5: Solve for x
    x = 159,261.30/503.53
  6. Step 6: Final answer
    x = 316.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.