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Finding the Fourth Proportional to 502.02, 693.09 and 478.80

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Solution

The fourth proportional to 502.02, 693.09 and 478.80 is: 661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.02 : 693.09 = 478.80 : x
  2. Step 2: Convert to fraction form
    502.02/693.09 = 478.80/x
  3. Step 3: Cross multiply
    502.02x = 693.09 × 478.80
  4. Step 4: Simplify right side
    502.02x = 331,851.49
  5. Step 5: Solve for x
    x = 331,851.49/502.02
  6. Step 6: Final answer
    x = 661.03

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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.