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Finding the Fourth Proportional to 522.59, 783.98 and 234.05

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Solution

The fourth proportional to 522.59, 783.98 and 234.05 is: 351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 783.98 = 234.05 : x
  2. Step 2: Convert to fraction form
    522.59/783.98 = 234.05/x
  3. Step 3: Cross multiply
    522.59x = 783.98 × 234.05
  4. Step 4: Simplify right side
    522.59x = 183,490.52
  5. Step 5: Solve for x
    x = 183,490.52/522.59
  6. Step 6: Final answer
    x = 351.12

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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.