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Finding the Fourth Proportional to 632.86, 873.41 and 455.77

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Solution

The fourth proportional to 632.86, 873.41 and 455.77 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 873.41 = 455.77 : x
  2. Step 2: Convert to fraction form
    632.86/873.41 = 455.77/x
  3. Step 3: Cross multiply
    632.86x = 873.41 × 455.77
  4. Step 4: Simplify right side
    632.86x = 398,074.08
  5. Step 5: Solve for x
    x = 398,074.08/632.86
  6. Step 6: Final answer
    x = 629.01

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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.