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Finding the Fourth Proportional to 647.98, 893.93 and 411.80

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Solution

The fourth proportional to 647.98, 893.93 and 411.80 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 893.93 = 411.80 : x
  2. Step 2: Convert to fraction form
    647.98/893.93 = 411.80/x
  3. Step 3: Cross multiply
    647.98x = 893.93 × 411.80
  4. Step 4: Simplify right side
    647.98x = 368,118.63
  5. Step 5: Solve for x
    x = 368,118.63/647.98
  6. Step 6: Final answer
    x = 568.10

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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.