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Finding the Fourth Proportional to 503.34, 755.14 and 406.72

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Solution

The fourth proportional to 503.34, 755.14 and 406.72 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 755.14 = 406.72 : x
  2. Step 2: Convert to fraction form
    503.34/755.14 = 406.72/x
  3. Step 3: Cross multiply
    503.34x = 755.14 × 406.72
  4. Step 4: Simplify right side
    503.34x = 307,130.54
  5. Step 5: Solve for x
    x = 307,130.54/503.34
  6. Step 6: Final answer
    x = 610.19

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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.