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Finding the Fourth Proportional to 305.42, 458.39 and 175.55

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Solution

The fourth proportional to 305.42, 458.39 and 175.55 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 458.39 = 175.55 : x
  2. Step 2: Convert to fraction form
    305.42/458.39 = 175.55/x
  3. Step 3: Cross multiply
    305.42x = 458.39 × 175.55
  4. Step 4: Simplify right side
    305.42x = 80,467.19
  5. Step 5: Solve for x
    x = 80,467.19/305.42
  6. Step 6: Final answer
    x = 263.47

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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.