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Finding the Fourth Proportional to 265.10, 395.10 and 264.69

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Solution

The fourth proportional to 265.10, 395.10 and 264.69 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 395.10 = 264.69 : x
  2. Step 2: Convert to fraction form
    265.10/395.10 = 264.69/x
  3. Step 3: Cross multiply
    265.10x = 395.10 × 264.69
  4. Step 4: Simplify right side
    265.10x = 104,579.02
  5. Step 5: Solve for x
    x = 104,579.02/265.10
  6. Step 6: Final answer
    x = 394.50

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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.