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Finding the Fourth Proportional to 462.84, 638.46 and 415.86

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Solution

The fourth proportional to 462.84, 638.46 and 415.86 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.46 = 415.86 : x
  2. Step 2: Convert to fraction form
    462.84/638.46 = 415.86/x
  3. Step 3: Cross multiply
    462.84x = 638.46 × 415.86
  4. Step 4: Simplify right side
    462.84x = 265,509.98
  5. Step 5: Solve for x
    x = 265,509.98/462.84
  6. Step 6: Final answer
    x = 573.65

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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.