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Finding the Fourth Proportional to 482.86, 725.46 and 431.02

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Solution

The fourth proportional to 482.86, 725.46 and 431.02 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 725.46 = 431.02 : x
  2. Step 2: Convert to fraction form
    482.86/725.46 = 431.02/x
  3. Step 3: Cross multiply
    482.86x = 725.46 × 431.02
  4. Step 4: Simplify right side
    482.86x = 312,687.77
  5. Step 5: Solve for x
    x = 312,687.77/482.86
  6. Step 6: Final answer
    x = 647.57

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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.