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Finding the Fourth Proportional to 576.42, 794.83 and 456.57

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Solution

The fourth proportional to 576.42, 794.83 and 456.57 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 794.83 = 456.57 : x
  2. Step 2: Convert to fraction form
    576.42/794.83 = 456.57/x
  3. Step 3: Cross multiply
    576.42x = 794.83 × 456.57
  4. Step 4: Simplify right side
    576.42x = 362,895.53
  5. Step 5: Solve for x
    x = 362,895.53/576.42
  6. Step 6: Final answer
    x = 629.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.