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Finding the Fourth Proportional to 591.53, 816.23 and 342.83

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Solution

The fourth proportional to 591.53, 816.23 and 342.83 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.53 : 816.23 = 342.83 : x
  2. Step 2: Convert to fraction form
    591.53/816.23 = 342.83/x
  3. Step 3: Cross multiply
    591.53x = 816.23 × 342.83
  4. Step 4: Simplify right side
    591.53x = 279,831.03
  5. Step 5: Solve for x
    x = 279,831.03/591.53
  6. Step 6: Final answer
    x = 473.07

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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.