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Finding the Fourth Proportional to 607.68, 910.92 and 282.64

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Solution

The fourth proportional to 607.68, 910.92 and 282.64 is: 423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 910.92 = 282.64 : x
  2. Step 2: Convert to fraction form
    607.68/910.92 = 282.64/x
  3. Step 3: Cross multiply
    607.68x = 910.92 × 282.64
  4. Step 4: Simplify right side
    607.68x = 257,462.43
  5. Step 5: Solve for x
    x = 257,462.43/607.68
  6. Step 6: Final answer
    x = 423.68

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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.