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Finding the Fourth Proportional to 503.51, 755.33 and 214.88

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Solution

The fourth proportional to 503.51, 755.33 and 214.88 is: 322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.51 : 755.33 = 214.88 : x
  2. Step 2: Convert to fraction form
    503.51/755.33 = 214.88/x
  3. Step 3: Cross multiply
    503.51x = 755.33 × 214.88
  4. Step 4: Simplify right side
    503.51x = 162,300.46
  5. Step 5: Solve for x
    x = 162,300.46/503.51
  6. Step 6: Final answer
    x = 322.34

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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.