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Finding the Fourth Proportional to 460.42, 690.29 and 277.78

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Solution

The fourth proportional to 460.42, 690.29 and 277.78 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 690.29 = 277.78 : x
  2. Step 2: Convert to fraction form
    460.42/690.29 = 277.78/x
  3. Step 3: Cross multiply
    460.42x = 690.29 × 277.78
  4. Step 4: Simplify right side
    460.42x = 191,743.92
  5. Step 5: Solve for x
    x = 191,743.92/460.42
  6. Step 6: Final answer
    x = 416.45

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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.