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Finding the Fourth Proportional to 503.42, 693.98 and 379.10

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Solution

The fourth proportional to 503.42, 693.98 and 379.10 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 693.98 = 379.10 : x
  2. Step 2: Convert to fraction form
    503.42/693.98 = 379.10/x
  3. Step 3: Cross multiply
    503.42x = 693.98 × 379.10
  4. Step 4: Simplify right side
    503.42x = 263,087.82
  5. Step 5: Solve for x
    x = 263,087.82/503.42
  6. Step 6: Final answer
    x = 522.60

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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.