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Finding the Fourth Proportional to 522.94, 784.68 and 234.32

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Solution

The fourth proportional to 522.94, 784.68 and 234.32 is: 351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.94 : 784.68 = 234.32 : x
  2. Step 2: Convert to fraction form
    522.94/784.68 = 234.32/x
  3. Step 3: Cross multiply
    522.94x = 784.68 × 234.32
  4. Step 4: Simplify right side
    522.94x = 183,866.22
  5. Step 5: Solve for x
    x = 183,866.22/522.94
  6. Step 6: Final answer
    x = 351.60

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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.