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Finding the Fourth Proportional to 460.02, 689.70 and 277.38

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Solution

The fourth proportional to 460.02, 689.70 and 277.38 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.70 = 277.38 : x
  2. Step 2: Convert to fraction form
    460.02/689.70 = 277.38/x
  3. Step 3: Cross multiply
    460.02x = 689.70 × 277.38
  4. Step 4: Simplify right side
    460.02x = 191,308.99
  5. Step 5: Solve for x
    x = 191,308.99/460.02
  6. Step 6: Final answer
    x = 415.87

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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.