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Finding the Fourth Proportional to 656.63, 984.93 and 240.18

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Solution

The fourth proportional to 656.63, 984.93 and 240.18 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.63 : 984.93 = 240.18 : x
  2. Step 2: Convert to fraction form
    656.63/984.93 = 240.18/x
  3. Step 3: Cross multiply
    656.63x = 984.93 × 240.18
  4. Step 4: Simplify right side
    656.63x = 236,560.49
  5. Step 5: Solve for x
    x = 236,560.49/656.63
  6. Step 6: Final answer
    x = 360.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.