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Finding the Fourth Proportional to 503.64, 754.92 and 215.10

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Solution

The fourth proportional to 503.64, 754.92 and 215.10 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 754.92 = 215.10 : x
  2. Step 2: Convert to fraction form
    503.64/754.92 = 215.10/x
  3. Step 3: Cross multiply
    503.64x = 754.92 × 215.10
  4. Step 4: Simplify right side
    503.64x = 162,383.29
  5. Step 5: Solve for x
    x = 162,383.29/503.64
  6. Step 6: Final answer
    x = 322.42

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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.