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Finding the Fourth Proportional to 651.14, 898.87 and 415.41

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Solution

The fourth proportional to 651.14, 898.87 and 415.41 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 898.87 = 415.41 : x
  2. Step 2: Convert to fraction form
    651.14/898.87 = 415.41/x
  3. Step 3: Cross multiply
    651.14x = 898.87 × 415.41
  4. Step 4: Simplify right side
    651.14x = 373,399.59
  5. Step 5: Solve for x
    x = 373,399.59/651.14
  6. Step 6: Final answer
    x = 573.46

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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.