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Finding the Fourth Proportional to 264.20, 394.29 and 258.05

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Solution

The fourth proportional to 264.20, 394.29 and 258.05 is: 385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 394.29 = 258.05 : x
  2. Step 2: Convert to fraction form
    264.20/394.29 = 258.05/x
  3. Step 3: Cross multiply
    264.20x = 394.29 × 258.05
  4. Step 4: Simplify right side
    264.20x = 101,746.53
  5. Step 5: Solve for x
    x = 101,746.53/264.20
  6. Step 6: Final answer
    x = 385.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.