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Finding the Fourth Proportional to 523.84, 722.96 and 366.32

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Solution

The fourth proportional to 523.84, 722.96 and 366.32 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 722.96 = 366.32 : x
  2. Step 2: Convert to fraction form
    523.84/722.96 = 366.32/x
  3. Step 3: Cross multiply
    523.84x = 722.96 × 366.32
  4. Step 4: Simplify right side
    523.84x = 264,834.71
  5. Step 5: Solve for x
    x = 264,834.71/523.84
  6. Step 6: Final answer
    x = 505.56

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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.