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Finding the Fourth Proportional to 460.07, 689.08 and 277.09

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Solution

The fourth proportional to 460.07, 689.08 and 277.09 is: 415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.07 : 689.08 = 277.09 : x
  2. Step 2: Convert to fraction form
    460.07/689.08 = 277.09/x
  3. Step 3: Cross multiply
    460.07x = 689.08 × 277.09
  4. Step 4: Simplify right side
    460.07x = 190,937.18
  5. Step 5: Solve for x
    x = 190,937.18/460.07
  6. Step 6: Final answer
    x = 415.02

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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.