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Finding the Fourth Proportional to 460.28, 690.32 and 264.87

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Solution

The fourth proportional to 460.28, 690.32 and 264.87 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 690.32 = 264.87 : x
  2. Step 2: Convert to fraction form
    460.28/690.32 = 264.87/x
  3. Step 3: Cross multiply
    460.28x = 690.32 × 264.87
  4. Step 4: Simplify right side
    460.28x = 182,845.72
  5. Step 5: Solve for x
    x = 182,845.72/460.28
  6. Step 6: Final answer
    x = 397.25

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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.