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Finding the Fourth Proportional to 964.58, 1,447.34 and 416.92

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Solution

The fourth proportional to 964.58, 1,447.34 and 416.92 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.58 : 1,447.34 = 416.92 : x
  2. Step 2: Convert to fraction form
    964.58/1,447.34 = 416.92/x
  3. Step 3: Cross multiply
    964.58x = 1,447.34 × 416.92
  4. Step 4: Simplify right side
    964.58x = 603,424.99
  5. Step 5: Solve for x
    x = 603,424.99/964.58
  6. Step 6: Final answer
    x = 625.58

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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.