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Finding the Fourth Proportional to 656.16, 905.48 and 361.42

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Solution

The fourth proportional to 656.16, 905.48 and 361.42 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.48 = 361.42 : x
  2. Step 2: Convert to fraction form
    656.16/905.48 = 361.42/x
  3. Step 3: Cross multiply
    656.16x = 905.48 × 361.42
  4. Step 4: Simplify right side
    656.16x = 327,254.51
  5. Step 5: Solve for x
    x = 327,254.51/656.16
  6. Step 6: Final answer
    x = 498.74

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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.