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Finding the Fourth Proportional to 607.78, 838.41 and 460.16

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Solution

The fourth proportional to 607.78, 838.41 and 460.16 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.78 : 838.41 = 460.16 : x
  2. Step 2: Convert to fraction form
    607.78/838.41 = 460.16/x
  3. Step 3: Cross multiply
    607.78x = 838.41 × 460.16
  4. Step 4: Simplify right side
    607.78x = 385,802.75
  5. Step 5: Solve for x
    x = 385,802.75/607.78
  6. Step 6: Final answer
    x = 634.77

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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.