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Finding the Fourth Proportional to 940.13, 1,410.19 and 256.13

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Solution

The fourth proportional to 940.13, 1,410.19 and 256.13 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 1,410.19 = 256.13 : x
  2. Step 2: Convert to fraction form
    940.13/1,410.19 = 256.13/x
  3. Step 3: Cross multiply
    940.13x = 1,410.19 × 256.13
  4. Step 4: Simplify right side
    940.13x = 361,191.96
  5. Step 5: Solve for x
    x = 361,191.96/940.13
  6. Step 6: Final answer
    x = 384.19

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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.