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Finding the Fourth Proportional to 656.68, 905.16 and 459.76

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Solution

The fourth proportional to 656.68, 905.16 and 459.76 is: 633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.68 : 905.16 = 459.76 : x
  2. Step 2: Convert to fraction form
    656.68/905.16 = 459.76/x
  3. Step 3: Cross multiply
    656.68x = 905.16 × 459.76
  4. Step 4: Simplify right side
    656.68x = 416,156.36
  5. Step 5: Solve for x
    x = 416,156.36/656.68
  6. Step 6: Final answer
    x = 633.73

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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.