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Finding the Fourth Proportional to 648.42, 894.78 and 386.40

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Solution

The fourth proportional to 648.42, 894.78 and 386.40 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 894.78 = 386.40 : x
  2. Step 2: Convert to fraction form
    648.42/894.78 = 386.40/x
  3. Step 3: Cross multiply
    648.42x = 894.78 × 386.40
  4. Step 4: Simplify right side
    648.42x = 345,742.99
  5. Step 5: Solve for x
    x = 345,742.99/648.42
  6. Step 6: Final answer
    x = 533.21

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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.