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Finding the Fourth Proportional to 522.30, 783.24 and 175.56

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Solution

The fourth proportional to 522.30, 783.24 and 175.56 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 783.24 = 175.56 : x
  2. Step 2: Convert to fraction form
    522.30/783.24 = 175.56/x
  3. Step 3: Cross multiply
    522.30x = 783.24 × 175.56
  4. Step 4: Simplify right side
    522.30x = 137,505.61
  5. Step 5: Solve for x
    x = 137,505.61/522.30
  6. Step 6: Final answer
    x = 263.27

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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.