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Finding the Fourth Proportional to 503.64, 755.06 and 214.88

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Solution

The fourth proportional to 503.64, 755.06 and 214.88 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 755.06 = 214.88 : x
  2. Step 2: Convert to fraction form
    503.64/755.06 = 214.88/x
  3. Step 3: Cross multiply
    503.64x = 755.06 × 214.88
  4. Step 4: Simplify right side
    503.64x = 162,242.44
  5. Step 5: Solve for x
    x = 162,242.44/503.64
  6. Step 6: Final answer
    x = 322.14

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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.