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Finding the Fourth Proportional to 647.82, 894.14 and 399.28

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Solution

The fourth proportional to 647.82, 894.14 and 399.28 is: 551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.82 : 894.14 = 399.28 : x
  2. Step 2: Convert to fraction form
    647.82/894.14 = 399.28/x
  3. Step 3: Cross multiply
    647.82x = 894.14 × 399.28
  4. Step 4: Simplify right side
    647.82x = 357,012.22
  5. Step 5: Solve for x
    x = 357,012.22/647.82
  6. Step 6: Final answer
    x = 551.10

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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.