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Finding the Fourth Proportional to 509.83, 703.86 and 323.47

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Solution

The fourth proportional to 509.83, 703.86 and 323.47 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.83 : 703.86 = 323.47 : x
  2. Step 2: Convert to fraction form
    509.83/703.86 = 323.47/x
  3. Step 3: Cross multiply
    509.83x = 703.86 × 323.47
  4. Step 4: Simplify right side
    509.83x = 227,677.59
  5. Step 5: Solve for x
    x = 227,677.59/509.83
  6. Step 6: Final answer
    x = 446.58

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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.