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Finding the Fourth Proportional to 651.08, 898.77 and 429.64

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Solution

The fourth proportional to 651.08, 898.77 and 429.64 is: 593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 898.77 = 429.64 : x
  2. Step 2: Convert to fraction form
    651.08/898.77 = 429.64/x
  3. Step 3: Cross multiply
    651.08x = 898.77 × 429.64
  4. Step 4: Simplify right side
    651.08x = 386,147.54
  5. Step 5: Solve for x
    x = 386,147.54/651.08
  6. Step 6: Final answer
    x = 593.09

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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.