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Finding the Fourth Proportional to 647.74, 894.47 and 415.27

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Solution

The fourth proportional to 647.74, 894.47 and 415.27 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.74 : 894.47 = 415.27 : x
  2. Step 2: Convert to fraction form
    647.74/894.47 = 415.27/x
  3. Step 3: Cross multiply
    647.74x = 894.47 × 415.27
  4. Step 4: Simplify right side
    647.74x = 371,446.56
  5. Step 5: Solve for x
    x = 371,446.56/647.74
  6. Step 6: Final answer
    x = 573.45

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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.