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Finding the Fourth Proportional to 848.42, 1,272.62 and 361.16

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Solution

The fourth proportional to 848.42, 1,272.62 and 361.16 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.42 : 1,272.62 = 361.16 : x
  2. Step 2: Convert to fraction form
    848.42/1,272.62 = 361.16/x
  3. Step 3: Cross multiply
    848.42x = 1,272.62 × 361.16
  4. Step 4: Simplify right side
    848.42x = 459,619.44
  5. Step 5: Solve for x
    x = 459,619.44/848.42
  6. Step 6: Final answer
    x = 541.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.