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Finding the Fourth Proportional to 648.60, 894.98 and 368.78

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Solution

The fourth proportional to 648.60, 894.98 and 368.78 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 894.98 = 368.78 : x
  2. Step 2: Convert to fraction form
    648.60/894.98 = 368.78/x
  3. Step 3: Cross multiply
    648.60x = 894.98 × 368.78
  4. Step 4: Simplify right side
    648.60x = 330,050.72
  5. Step 5: Solve for x
    x = 330,050.72/648.60
  6. Step 6: Final answer
    x = 508.87

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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.