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Finding the Fourth Proportional to 503.48, 755.24 and 214.72

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Solution

The fourth proportional to 503.48, 755.24 and 214.72 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 755.24 = 214.72 : x
  2. Step 2: Convert to fraction form
    503.48/755.24 = 214.72/x
  3. Step 3: Cross multiply
    503.48x = 755.24 × 214.72
  4. Step 4: Simplify right side
    503.48x = 162,165.13
  5. Step 5: Solve for x
    x = 162,165.13/503.48
  6. Step 6: Final answer
    x = 322.09

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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.