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Finding the Fourth Proportional to 460.89, 694.02 and 340.00

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Solution

The fourth proportional to 460.89, 694.02 and 340.00 is: 511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 694.02 = 340.00 : x
  2. Step 2: Convert to fraction form
    460.89/694.02 = 340.00/x
  3. Step 3: Cross multiply
    460.89x = 694.02 × 340.00
  4. Step 4: Simplify right side
    460.89x = 235,964.43
  5. Step 5: Solve for x
    x = 235,964.43/460.89
  6. Step 6: Final answer
    x = 511.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.