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Finding the Fourth Proportional to 460.65, 690.25 and 356.79

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Solution

The fourth proportional to 460.65, 690.25 and 356.79 is: 534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 690.25 = 356.79 : x
  2. Step 2: Convert to fraction form
    460.65/690.25 = 356.79/x
  3. Step 3: Cross multiply
    460.65x = 690.25 × 356.79
  4. Step 4: Simplify right side
    460.65x = 246,274.30
  5. Step 5: Solve for x
    x = 246,274.30/460.65
  6. Step 6: Final answer
    x = 534.62

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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.