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Finding the Fourth Proportional to 647.84, 893.64 and 399.11

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Solution

The fourth proportional to 647.84, 893.64 and 399.11 is: 550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 893.64 = 399.11 : x
  2. Step 2: Convert to fraction form
    647.84/893.64 = 399.11/x
  3. Step 3: Cross multiply
    647.84x = 893.64 × 399.11
  4. Step 4: Simplify right side
    647.84x = 356,656.19
  5. Step 5: Solve for x
    x = 356,656.19/647.84
  6. Step 6: Final answer
    x = 550.54

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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.