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Finding the Fourth Proportional to 522.47, 784.06 and 233.91

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Solution

The fourth proportional to 522.47, 784.06 and 233.91 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 784.06 = 233.91 : x
  2. Step 2: Convert to fraction form
    522.47/784.06 = 233.91/x
  3. Step 3: Cross multiply
    522.47x = 784.06 × 233.91
  4. Step 4: Simplify right side
    522.47x = 183,398.89
  5. Step 5: Solve for x
    x = 183,398.89/522.47
  6. Step 6: Final answer
    x = 351.02

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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.