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Finding the Fourth Proportional to 656.92, 985.20 and 245.76

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Solution

The fourth proportional to 656.92, 985.20 and 245.76 is: 368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 985.20 = 245.76 : x
  2. Step 2: Convert to fraction form
    656.92/985.20 = 245.76/x
  3. Step 3: Cross multiply
    656.92x = 985.20 × 245.76
  4. Step 4: Simplify right side
    656.92x = 242,118.14
  5. Step 5: Solve for x
    x = 242,118.14/656.92
  6. Step 6: Final answer
    x = 368.56

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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.