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Finding the Fourth Proportional to 648, 894 and 368.16

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Solution

The fourth proportional to 648, 894 and 368.16 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 894 = 368.16 : x
  2. Step 2: Convert to fraction form
    648/894 = 368.16/x
  3. Step 3: Cross multiply
    648x = 894 × 368.16
  4. Step 4: Simplify right side
    648x = 329,135.04
  5. Step 5: Solve for x
    x = 329,135.04/648
  6. Step 6: Final answer
    x = 507.92

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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.