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Finding the Fourth Proportional to 522.65, 784.00 and 369.26

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Solution

The fourth proportional to 522.65, 784.00 and 369.26 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.65 : 784.00 = 369.26 : x
  2. Step 2: Convert to fraction form
    522.65/784.00 = 369.26/x
  3. Step 3: Cross multiply
    522.65x = 784.00 × 369.26
  4. Step 4: Simplify right side
    522.65x = 289,500.88
  5. Step 5: Solve for x
    x = 289,500.88/522.65
  6. Step 6: Final answer
    x = 553.91

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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.