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Finding the Fourth Proportional to 647.05, 893.01 and 411.07

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Solution

The fourth proportional to 647.05, 893.01 and 411.07 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.05 : 893.01 = 411.07 : x
  2. Step 2: Convert to fraction form
    647.05/893.01 = 411.07/x
  3. Step 3: Cross multiply
    647.05x = 893.01 × 411.07
  4. Step 4: Simplify right side
    647.05x = 367,089.62
  5. Step 5: Solve for x
    x = 367,089.62/647.05
  6. Step 6: Final answer
    x = 567.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.