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Finding the Fourth Proportional to 647.16, 893.15 and 398.54

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Solution

The fourth proportional to 647.16, 893.15 and 398.54 is: 550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.16 : 893.15 = 398.54 : x
  2. Step 2: Convert to fraction form
    647.16/893.15 = 398.54/x
  3. Step 3: Cross multiply
    647.16x = 893.15 × 398.54
  4. Step 4: Simplify right side
    647.16x = 355,949.54
  5. Step 5: Solve for x
    x = 355,949.54/647.16
  6. Step 6: Final answer
    x = 550.02

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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.