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Finding the Fourth Proportional to 361.64, 497.64 and 298.04

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Solution

The fourth proportional to 361.64, 497.64 and 298.04 is: 410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 497.64 = 298.04 : x
  2. Step 2: Convert to fraction form
    361.64/497.64 = 298.04/x
  3. Step 3: Cross multiply
    361.64x = 497.64 × 298.04
  4. Step 4: Simplify right side
    361.64x = 148,316.63
  5. Step 5: Solve for x
    x = 148,316.63/361.64
  6. Step 6: Final answer
    x = 410.12

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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.