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Finding the Fourth Proportional to 460.91, 690.00 and 277.75

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Solution

The fourth proportional to 460.91, 690.00 and 277.75 is: 415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 690.00 = 277.75 : x
  2. Step 2: Convert to fraction form
    460.91/690.00 = 277.75/x
  3. Step 3: Cross multiply
    460.91x = 690.00 × 277.75
  4. Step 4: Simplify right side
    460.91x = 191,646.11
  5. Step 5: Solve for x
    x = 191,646.11/460.91
  6. Step 6: Final answer
    x = 415.80

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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.