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Finding the Fourth Proportional to 344.99, 516.58 and 290.01

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Solution

The fourth proportional to 344.99, 516.58 and 290.01 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.99 : 516.58 = 290.01 : x
  2. Step 2: Convert to fraction form
    344.99/516.58 = 290.01/x
  3. Step 3: Cross multiply
    344.99x = 516.58 × 290.01
  4. Step 4: Simplify right side
    344.99x = 149,813.37
  5. Step 5: Solve for x
    x = 149,813.37/344.99
  6. Step 6: Final answer
    x = 434.25

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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.