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Finding the Fourth Proportional to 647.39, 893.12 and 414.38

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Solution

The fourth proportional to 647.39, 893.12 and 414.38 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.39 : 893.12 = 414.38 : x
  2. Step 2: Convert to fraction form
    647.39/893.12 = 414.38/x
  3. Step 3: Cross multiply
    647.39x = 893.12 × 414.38
  4. Step 4: Simplify right side
    647.39x = 370,084.53
  5. Step 5: Solve for x
    x = 370,084.53/647.39
  6. Step 6: Final answer
    x = 571.66

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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.