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Finding the Fourth Proportional to 656.83, 985.23 and 266.83

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Solution

The fourth proportional to 656.83, 985.23 and 266.83 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.83 : 985.23 = 266.83 : x
  2. Step 2: Convert to fraction form
    656.83/985.23 = 266.83/x
  3. Step 3: Cross multiply
    656.83x = 985.23 × 266.83
  4. Step 4: Simplify right side
    656.83x = 262,888.92
  5. Step 5: Solve for x
    x = 262,888.92/656.83
  6. Step 6: Final answer
    x = 400.24

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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.