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Finding the Fourth Proportional to 647.42, 892.94 and 460.74

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Solution

The fourth proportional to 647.42, 892.94 and 460.74 is: 635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.42 : 892.94 = 460.74 : x
  2. Step 2: Convert to fraction form
    647.42/892.94 = 460.74/x
  3. Step 3: Cross multiply
    647.42x = 892.94 × 460.74
  4. Step 4: Simplify right side
    647.42x = 411,413.18
  5. Step 5: Solve for x
    x = 411,413.18/647.42
  6. Step 6: Final answer
    x = 635.47

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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.