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Finding the Fourth Proportional to 497.03, 685.87 and 380.39

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Solution

The fourth proportional to 497.03, 685.87 and 380.39 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.03 : 685.87 = 380.39 : x
  2. Step 2: Convert to fraction form
    497.03/685.87 = 380.39/x
  3. Step 3: Cross multiply
    497.03x = 685.87 × 380.39
  4. Step 4: Simplify right side
    497.03x = 260,893.71
  5. Step 5: Solve for x
    x = 260,893.71/497.03
  6. Step 6: Final answer
    x = 524.91

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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.