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Finding the Fourth Proportional to 264.08, 365.90 and 258.32

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Solution

The fourth proportional to 264.08, 365.90 and 258.32 is: 357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 365.90 = 258.32 : x
  2. Step 2: Convert to fraction form
    264.08/365.90 = 258.32/x
  3. Step 3: Cross multiply
    264.08x = 365.90 × 258.32
  4. Step 4: Simplify right side
    264.08x = 94,519.29
  5. Step 5: Solve for x
    x = 94,519.29/264.08
  6. Step 6: Final answer
    x = 357.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.