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Finding the Fourth Proportional to 380.59, 570.93 and 175.15

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Solution

The fourth proportional to 380.59, 570.93 and 175.15 is: 262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 570.93 = 175.15 : x
  2. Step 2: Convert to fraction form
    380.59/570.93 = 175.15/x
  3. Step 3: Cross multiply
    380.59x = 570.93 × 175.15
  4. Step 4: Simplify right side
    380.59x = 99,998.39
  5. Step 5: Solve for x
    x = 99,998.39/380.59
  6. Step 6: Final answer
    x = 262.75

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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.