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Finding the Fourth Proportional to 905.94, 1,358.96 and 256.66

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Solution

The fourth proportional to 905.94, 1,358.96 and 256.66 is: 385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.94 : 1,358.96 = 256.66 : x
  2. Step 2: Convert to fraction form
    905.94/1,358.96 = 256.66/x
  3. Step 3: Cross multiply
    905.94x = 1,358.96 × 256.66
  4. Step 4: Simplify right side
    905.94x = 348,790.67
  5. Step 5: Solve for x
    x = 348,790.67/905.94
  6. Step 6: Final answer
    x = 385.00

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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.