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Finding the Fourth Proportional to 503.05, 693.71 and 392.48

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Solution

The fourth proportional to 503.05, 693.71 and 392.48 is: 541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.05 : 693.71 = 392.48 : x
  2. Step 2: Convert to fraction form
    503.05/693.71 = 392.48/x
  3. Step 3: Cross multiply
    503.05x = 693.71 × 392.48
  4. Step 4: Simplify right side
    503.05x = 272,270.02
  5. Step 5: Solve for x
    x = 272,270.02/503.05
  6. Step 6: Final answer
    x = 541.24

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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.