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Finding the Fourth Proportional to 350.60, 524.88 and 259.02

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Solution

The fourth proportional to 350.60, 524.88 and 259.02 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.60 : 524.88 = 259.02 : x
  2. Step 2: Convert to fraction form
    350.60/524.88 = 259.02/x
  3. Step 3: Cross multiply
    350.60x = 524.88 × 259.02
  4. Step 4: Simplify right side
    350.60x = 135,955.89
  5. Step 5: Solve for x
    x = 135,955.89/350.60
  6. Step 6: Final answer
    x = 387.78

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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.