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Finding the Fourth Proportional to 647.87, 894.09 and 368.12

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Solution

The fourth proportional to 647.87, 894.09 and 368.12 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.87 : 894.09 = 368.12 : x
  2. Step 2: Convert to fraction form
    647.87/894.09 = 368.12/x
  3. Step 3: Cross multiply
    647.87x = 894.09 × 368.12
  4. Step 4: Simplify right side
    647.87x = 329,132.41
  5. Step 5: Solve for x
    x = 329,132.41/647.87
  6. Step 6: Final answer
    x = 508.02

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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.