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Finding the Fourth Proportional to 264.35, 362.30 and 261.24

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Solution

The fourth proportional to 264.35, 362.30 and 261.24 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 362.30 = 261.24 : x
  2. Step 2: Convert to fraction form
    264.35/362.30 = 261.24/x
  3. Step 3: Cross multiply
    264.35x = 362.30 × 261.24
  4. Step 4: Simplify right side
    264.35x = 94,647.25
  5. Step 5: Solve for x
    x = 94,647.25/264.35
  6. Step 6: Final answer
    x = 358.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.