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Finding the Fourth Proportional to 505.29, 697.26 and 284.19

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Solution

The fourth proportional to 505.29, 697.26 and 284.19 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.29 : 697.26 = 284.19 : x
  2. Step 2: Convert to fraction form
    505.29/697.26 = 284.19/x
  3. Step 3: Cross multiply
    505.29x = 697.26 × 284.19
  4. Step 4: Simplify right side
    505.29x = 198,157.05
  5. Step 5: Solve for x
    x = 198,157.05/505.29
  6. Step 6: Final answer
    x = 392.17

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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.