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Finding the Fourth Proportional to 600.47, 898.56 and 415.41

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Solution

The fourth proportional to 600.47, 898.56 and 415.41 is: 621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.47 : 898.56 = 415.41 : x
  2. Step 2: Convert to fraction form
    600.47/898.56 = 415.41/x
  3. Step 3: Cross multiply
    600.47x = 898.56 × 415.41
  4. Step 4: Simplify right side
    600.47x = 373,270.81
  5. Step 5: Solve for x
    x = 373,270.81/600.47
  6. Step 6: Final answer
    x = 621.63

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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.