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Finding the Fourth Proportional to 522.64, 783.89 and 175.94

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Solution

The fourth proportional to 522.64, 783.89 and 175.94 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 783.89 = 175.94 : x
  2. Step 2: Convert to fraction form
    522.64/783.89 = 175.94/x
  3. Step 3: Cross multiply
    522.64x = 783.89 × 175.94
  4. Step 4: Simplify right side
    522.64x = 137,917.61
  5. Step 5: Solve for x
    x = 137,917.61/522.64
  6. Step 6: Final answer
    x = 263.89

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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.