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Finding the Fourth Proportional to 648.42, 894.81 and 368.69

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Solution

The fourth proportional to 648.42, 894.81 and 368.69 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 894.81 = 368.69 : x
  2. Step 2: Convert to fraction form
    648.42/894.81 = 368.69/x
  3. Step 3: Cross multiply
    648.42x = 894.81 × 368.69
  4. Step 4: Simplify right side
    648.42x = 329,904.41
  5. Step 5: Solve for x
    x = 329,904.41/648.42
  6. Step 6: Final answer
    x = 508.78

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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.