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Finding the Fourth Proportional to 345.98, 519.68 and 274.34

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Solution

The fourth proportional to 345.98, 519.68 and 274.34 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 519.68 = 274.34 : x
  2. Step 2: Convert to fraction form
    345.98/519.68 = 274.34/x
  3. Step 3: Cross multiply
    345.98x = 519.68 × 274.34
  4. Step 4: Simplify right side
    345.98x = 142,567.10
  5. Step 5: Solve for x
    x = 142,567.10/345.98
  6. Step 6: Final answer
    x = 412.07

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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.