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Finding the Fourth Proportional to 651.87, 899.64 and 415.89

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Solution

The fourth proportional to 651.87, 899.64 and 415.89 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 899.64 = 415.89 : x
  2. Step 2: Convert to fraction form
    651.87/899.64 = 415.89/x
  3. Step 3: Cross multiply
    651.87x = 899.64 × 415.89
  4. Step 4: Simplify right side
    651.87x = 374,151.28
  5. Step 5: Solve for x
    x = 374,151.28/651.87
  6. Step 6: Final answer
    x = 573.97

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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.