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Finding the Fourth Proportional to 522.41, 782.07 and 384.52

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Solution

The fourth proportional to 522.41, 782.07 and 384.52 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.41 : 782.07 = 384.52 : x
  2. Step 2: Convert to fraction form
    522.41/782.07 = 384.52/x
  3. Step 3: Cross multiply
    522.41x = 782.07 × 384.52
  4. Step 4: Simplify right side
    522.41x = 300,719.63
  5. Step 5: Solve for x
    x = 300,719.63/522.41
  6. Step 6: Final answer
    x = 575.64

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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.