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Finding the Fourth Proportional to 345.01, 517.86 and 253.45

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Solution

The fourth proportional to 345.01, 517.86 and 253.45 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.01 : 517.86 = 253.45 : x
  2. Step 2: Convert to fraction form
    345.01/517.86 = 253.45/x
  3. Step 3: Cross multiply
    345.01x = 517.86 × 253.45
  4. Step 4: Simplify right side
    345.01x = 131,250.35
  5. Step 5: Solve for x
    x = 131,250.35/345.01
  6. Step 6: Final answer
    x = 380.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.