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Finding the Fourth Proportional to 496.72, 684.72 and 418

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Solution

The fourth proportional to 496.72, 684.72 and 418 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 684.72 = 418 : x
  2. Step 2: Convert to fraction form
    496.72/684.72 = 418/x
  3. Step 3: Cross multiply
    496.72x = 684.72 × 418
  4. Step 4: Simplify right side
    496.72x = 286,212.96
  5. Step 5: Solve for x
    x = 286,212.96/496.72
  6. Step 6: Final answer
    x = 576.21

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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.