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Finding the Fourth Proportional to 591.69, 816.48 and 342.93

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Solution

The fourth proportional to 591.69, 816.48 and 342.93 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.69 : 816.48 = 342.93 : x
  2. Step 2: Convert to fraction form
    591.69/816.48 = 342.93/x
  3. Step 3: Cross multiply
    591.69x = 816.48 × 342.93
  4. Step 4: Simplify right side
    591.69x = 279,995.49
  5. Step 5: Solve for x
    x = 279,995.49/591.69
  6. Step 6: Final answer
    x = 473.21

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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.