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Finding the Fourth Proportional to 656.19, 905.56 and 361.47

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Solution

The fourth proportional to 656.19, 905.56 and 361.47 is: 498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 905.56 = 361.47 : x
  2. Step 2: Convert to fraction form
    656.19/905.56 = 361.47/x
  3. Step 3: Cross multiply
    656.19x = 905.56 × 361.47
  4. Step 4: Simplify right side
    656.19x = 327,332.77
  5. Step 5: Solve for x
    x = 327,332.77/656.19
  6. Step 6: Final answer
    x = 498.84

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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.