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Finding the Fourth Proportional to 522.56, 783 and 330.32

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Solution

The fourth proportional to 522.56, 783 and 330.32 is: 494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 783 = 330.32 : x
  2. Step 2: Convert to fraction form
    522.56/783 = 330.32/x
  3. Step 3: Cross multiply
    522.56x = 783 × 330.32
  4. Step 4: Simplify right side
    522.56x = 258,640.56
  5. Step 5: Solve for x
    x = 258,640.56/522.56
  6. Step 6: Final answer
    x = 494.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.