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Finding the Fourth Proportional to 656.48, 905.94 and 361.74

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Solution

The fourth proportional to 656.48, 905.94 and 361.74 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.48 : 905.94 = 361.74 : x
  2. Step 2: Convert to fraction form
    656.48/905.94 = 361.74/x
  3. Step 3: Cross multiply
    656.48x = 905.94 × 361.74
  4. Step 4: Simplify right side
    656.48x = 327,714.74
  5. Step 5: Solve for x
    x = 327,714.74/656.48
  6. Step 6: Final answer
    x = 499.20

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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.