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Finding the Fourth Proportional to 507.02, 698.47 and 482.31

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Solution

The fourth proportional to 507.02, 698.47 and 482.31 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.02 : 698.47 = 482.31 : x
  2. Step 2: Convert to fraction form
    507.02/698.47 = 482.31/x
  3. Step 3: Cross multiply
    507.02x = 698.47 × 482.31
  4. Step 4: Simplify right side
    507.02x = 336,877.86
  5. Step 5: Solve for x
    x = 336,877.86/507.02
  6. Step 6: Final answer
    x = 664.43

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