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Finding the Fourth Proportional to 460.55, 690.17 and 265.55

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Solution

The fourth proportional to 460.55, 690.17 and 265.55 is: 397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.55 : 690.17 = 265.55 : x
  2. Step 2: Convert to fraction form
    460.55/690.17 = 265.55/x
  3. Step 3: Cross multiply
    460.55x = 690.17 × 265.55
  4. Step 4: Simplify right side
    460.55x = 183,269.86
  5. Step 5: Solve for x
    x = 183,269.86/460.55
  6. Step 6: Final answer
    x = 397.93

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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.