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Finding the Fourth Proportional to 505.94, 697.48 and 381.74

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Solution

The fourth proportional to 505.94, 697.48 and 381.74 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 697.48 = 381.74 : x
  2. Step 2: Convert to fraction form
    505.94/697.48 = 381.74/x
  3. Step 3: Cross multiply
    505.94x = 697.48 × 381.74
  4. Step 4: Simplify right side
    505.94x = 266,251.57
  5. Step 5: Solve for x
    x = 266,251.57/505.94
  6. Step 6: Final answer
    x = 526.26

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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.