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Finding the Fourth Proportional to 648.75, 894.74 and 386.58

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Solution

The fourth proportional to 648.75, 894.74 and 386.58 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 894.74 = 386.58 : x
  2. Step 2: Convert to fraction form
    648.75/894.74 = 386.58/x
  3. Step 3: Cross multiply
    648.75x = 894.74 × 386.58
  4. Step 4: Simplify right side
    648.75x = 345,886.66
  5. Step 5: Solve for x
    x = 345,886.66/648.75
  6. Step 6: Final answer
    x = 533.16

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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.