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Finding the Fourth Proportional to 522.76, 783.26 and 229.82

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Solution

The fourth proportional to 522.76, 783.26 and 229.82 is: 344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.76 : 783.26 = 229.82 : x
  2. Step 2: Convert to fraction form
    522.76/783.26 = 229.82/x
  3. Step 3: Cross multiply
    522.76x = 783.26 × 229.82
  4. Step 4: Simplify right side
    522.76x = 180,008.81
  5. Step 5: Solve for x
    x = 180,008.81/522.76
  6. Step 6: Final answer
    x = 344.35

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Why These Related Problems?

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