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Finding the Fourth Proportional to 460.52, 689.85 and 265.23

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Solution

The fourth proportional to 460.52, 689.85 and 265.23 is: 397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.52 : 689.85 = 265.23 : x
  2. Step 2: Convert to fraction form
    460.52/689.85 = 265.23/x
  3. Step 3: Cross multiply
    460.52x = 689.85 × 265.23
  4. Step 4: Simplify right side
    460.52x = 182,968.92
  5. Step 5: Solve for x
    x = 182,968.92/460.52
  6. Step 6: Final answer
    x = 397.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.