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Finding the Fourth Proportional to 503.20, 695.70 and 379.49

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Solution

The fourth proportional to 503.20, 695.70 and 379.49 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 695.70 = 379.49 : x
  2. Step 2: Convert to fraction form
    503.20/695.70 = 379.49/x
  3. Step 3: Cross multiply
    503.20x = 695.70 × 379.49
  4. Step 4: Simplify right side
    503.20x = 264,011.19
  5. Step 5: Solve for x
    x = 264,011.19/503.20
  6. Step 6: Final answer
    x = 524.66

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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.