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Finding the Fourth Proportional to 503.09, 753.17 and 294.21

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Solution

The fourth proportional to 503.09, 753.17 and 294.21 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 753.17 = 294.21 : x
  2. Step 2: Convert to fraction form
    503.09/753.17 = 294.21/x
  3. Step 3: Cross multiply
    503.09x = 753.17 × 294.21
  4. Step 4: Simplify right side
    503.09x = 221,588.67
  5. Step 5: Solve for x
    x = 221,588.67/503.09
  6. Step 6: Final answer
    x = 440.46

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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.