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Finding the Fourth Proportional to 505.26, 697.21 and 284.17

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Solution

The fourth proportional to 505.26, 697.21 and 284.17 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 697.21 = 284.17 : x
  2. Step 2: Convert to fraction form
    505.26/697.21 = 284.17/x
  3. Step 3: Cross multiply
    505.26x = 697.21 × 284.17
  4. Step 4: Simplify right side
    505.26x = 198,123.71
  5. Step 5: Solve for x
    x = 198,123.71/505.26
  6. Step 6: Final answer
    x = 392.12

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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.