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Finding the Fourth Proportional to 647.17, 893.09 and 367.40

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Solution

The fourth proportional to 647.17, 893.09 and 367.40 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 893.09 = 367.40 : x
  2. Step 2: Convert to fraction form
    647.17/893.09 = 367.40/x
  3. Step 3: Cross multiply
    647.17x = 893.09 × 367.40
  4. Step 4: Simplify right side
    647.17x = 328,121.27
  5. Step 5: Solve for x
    x = 328,121.27/647.17
  6. Step 6: Final answer
    x = 507.01

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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.