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Finding the Fourth Proportional to 607.23, 838.26 and 460.53

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Solution

The fourth proportional to 607.23, 838.26 and 460.53 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.23 : 838.26 = 460.53 : x
  2. Step 2: Convert to fraction form
    607.23/838.26 = 460.53/x
  3. Step 3: Cross multiply
    607.23x = 838.26 × 460.53
  4. Step 4: Simplify right side
    607.23x = 386,043.88
  5. Step 5: Solve for x
    x = 386,043.88/607.23
  6. Step 6: Final answer
    x = 635.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.