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Finding the Fourth Proportional to 607.37, 838.40 and 460.04

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Solution

The fourth proportional to 607.37, 838.40 and 460.04 is: 635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.37 : 838.40 = 460.04 : x
  2. Step 2: Convert to fraction form
    607.37/838.40 = 460.04/x
  3. Step 3: Cross multiply
    607.37x = 838.40 × 460.04
  4. Step 4: Simplify right side
    607.37x = 385,691.04
  5. Step 5: Solve for x
    x = 385,691.04/607.37
  6. Step 6: Final answer
    x = 635.02

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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.