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Finding the Fourth Proportional to 607.12, 910.68 and 256

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Solution

The fourth proportional to 607.12, 910.68 and 256 is: 384

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.12 : 910.68 = 256 : x
  2. Step 2: Convert to fraction form
    607.12/910.68 = 256/x
  3. Step 3: Cross multiply
    607.12x = 910.68 × 256
  4. Step 4: Simplify right side
    607.12x = 233,134.08
  5. Step 5: Solve for x
    x = 233,134.08/607.12
  6. Step 6: Final answer
    x = 384

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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.