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Finding the Fourth Proportional to 345.49, 517.33 and 290.51

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Solution

The fourth proportional to 345.49, 517.33 and 290.51 is: 435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 517.33 = 290.51 : x
  2. Step 2: Convert to fraction form
    345.49/517.33 = 290.51/x
  3. Step 3: Cross multiply
    345.49x = 517.33 × 290.51
  4. Step 4: Simplify right side
    345.49x = 150,289.54
  5. Step 5: Solve for x
    x = 150,289.54/345.49
  6. Step 6: Final answer
    x = 435.00

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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.