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Finding the Fourth Proportional to 503.23, 755.16 and 214.65

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Solution

The fourth proportional to 503.23, 755.16 and 214.65 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.23 : 755.16 = 214.65 : x
  2. Step 2: Convert to fraction form
    503.23/755.16 = 214.65/x
  3. Step 3: Cross multiply
    503.23x = 755.16 × 214.65
  4. Step 4: Simplify right side
    503.23x = 162,095.09
  5. Step 5: Solve for x
    x = 162,095.09/503.23
  6. Step 6: Final answer
    x = 322.11

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