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Finding the Fourth Proportional to 648.06, 894.45 and 386.16

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Solution

The fourth proportional to 648.06, 894.45 and 386.16 is: 532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 894.45 = 386.16 : x
  2. Step 2: Convert to fraction form
    648.06/894.45 = 386.16/x
  3. Step 3: Cross multiply
    648.06x = 894.45 × 386.16
  4. Step 4: Simplify right side
    648.06x = 345,400.81
  5. Step 5: Solve for x
    x = 345,400.81/648.06
  6. Step 6: Final answer
    x = 532.98

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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.