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Finding the Fourth Proportional to 672.86, 928.94 and 440.39

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Solution

The fourth proportional to 672.86, 928.94 and 440.39 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 928.94 = 440.39 : x
  2. Step 2: Convert to fraction form
    672.86/928.94 = 440.39/x
  3. Step 3: Cross multiply
    672.86x = 928.94 × 440.39
  4. Step 4: Simplify right side
    672.86x = 409,089.04
  5. Step 5: Solve for x
    x = 409,089.04/672.86
  6. Step 6: Final answer
    x = 607.99

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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.