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Finding the Fourth Proportional to 509.73, 703.17 and 313.13

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Solution

The fourth proportional to 509.73, 703.17 and 313.13 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 703.17 = 313.13 : x
  2. Step 2: Convert to fraction form
    509.73/703.17 = 313.13/x
  3. Step 3: Cross multiply
    509.73x = 703.17 × 313.13
  4. Step 4: Simplify right side
    509.73x = 220,180.11
  5. Step 5: Solve for x
    x = 220,180.11/509.73
  6. Step 6: Final answer
    x = 431.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.