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Finding the Fourth Proportional to 460.56, 690.30 and 455.42

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Solution

The fourth proportional to 460.56, 690.30 and 455.42 is: 682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 690.30 = 455.42 : x
  2. Step 2: Convert to fraction form
    460.56/690.30 = 455.42/x
  3. Step 3: Cross multiply
    460.56x = 690.30 × 455.42
  4. Step 4: Simplify right side
    460.56x = 314,376.87
  5. Step 5: Solve for x
    x = 314,376.87/460.56
  6. Step 6: Final answer
    x = 682.60

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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.