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Finding the Fourth Proportional to 718.42, 1,077.62 and 256.21

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Solution

The fourth proportional to 718.42, 1,077.62 and 256.21 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.42 : 1,077.62 = 256.21 : x
  2. Step 2: Convert to fraction form
    718.42/1,077.62 = 256.21/x
  3. Step 3: Cross multiply
    718.42x = 1,077.62 × 256.21
  4. Step 4: Simplify right side
    718.42x = 276,093.05
  5. Step 5: Solve for x
    x = 276,093.05/718.42
  6. Step 6: Final answer
    x = 384.31

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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.