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Finding the Fourth Proportional to 264.10, 364.49 and 259.30

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Solution

The fourth proportional to 264.10, 364.49 and 259.30 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 364.49 = 259.30 : x
  2. Step 2: Convert to fraction form
    264.10/364.49 = 259.30/x
  3. Step 3: Cross multiply
    264.10x = 364.49 × 259.30
  4. Step 4: Simplify right side
    264.10x = 94,512.26
  5. Step 5: Solve for x
    x = 94,512.26/264.10
  6. Step 6: Final answer
    x = 357.87

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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.