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Finding the Fourth Proportional to 380.42, 569.83 and 175.16

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Solution

The fourth proportional to 380.42, 569.83 and 175.16 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.42 : 569.83 = 175.16 : x
  2. Step 2: Convert to fraction form
    380.42/569.83 = 175.16/x
  3. Step 3: Cross multiply
    380.42x = 569.83 × 175.16
  4. Step 4: Simplify right side
    380.42x = 99,811.42
  5. Step 5: Solve for x
    x = 99,811.42/380.42
  6. Step 6: Final answer
    x = 262.37

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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.