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Finding the Fourth Proportional to 647.49, 894.58 and 451.88

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Solution

The fourth proportional to 647.49, 894.58 and 451.88 is: 624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.49 : 894.58 = 451.88 : x
  2. Step 2: Convert to fraction form
    647.49/894.58 = 451.88/x
  3. Step 3: Cross multiply
    647.49x = 894.58 × 451.88
  4. Step 4: Simplify right side
    647.49x = 404,238.34
  5. Step 5: Solve for x
    x = 404,238.34/647.49
  6. Step 6: Final answer
    x = 624.32

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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.