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Finding the Fourth Proportional to 503.91, 756.06 and 407.31

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Solution

The fourth proportional to 503.91, 756.06 and 407.31 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.91 : 756.06 = 407.31 : x
  2. Step 2: Convert to fraction form
    503.91/756.06 = 407.31/x
  3. Step 3: Cross multiply
    503.91x = 756.06 × 407.31
  4. Step 4: Simplify right side
    503.91x = 307,944.98
  5. Step 5: Solve for x
    x = 307,944.98/503.91
  6. Step 6: Final answer
    x = 611.12

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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.