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Finding the Fourth Proportional to 330.86, 457.07 and 258.12

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Solution

The fourth proportional to 330.86, 457.07 and 258.12 is: 356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.86 : 457.07 = 258.12 : x
  2. Step 2: Convert to fraction form
    330.86/457.07 = 258.12/x
  3. Step 3: Cross multiply
    330.86x = 457.07 × 258.12
  4. Step 4: Simplify right side
    330.86x = 117,977.62
  5. Step 5: Solve for x
    x = 117,977.62/330.86
  6. Step 6: Final answer
    x = 356.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.