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Finding the Fourth Proportional to 648.32, 894.65 and 399.66

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Solution

The fourth proportional to 648.32, 894.65 and 399.66 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 894.65 = 399.66 : x
  2. Step 2: Convert to fraction form
    648.32/894.65 = 399.66/x
  3. Step 3: Cross multiply
    648.32x = 894.65 × 399.66
  4. Step 4: Simplify right side
    648.32x = 357,555.82
  5. Step 5: Solve for x
    x = 357,555.82/648.32
  6. Step 6: Final answer
    x = 551.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.