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Finding the Fourth Proportional to 522, 720.60 and 404.56

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Solution

The fourth proportional to 522, 720.60 and 404.56 is: 558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 720.60 = 404.56 : x
  2. Step 2: Convert to fraction form
    522/720.60 = 404.56/x
  3. Step 3: Cross multiply
    522x = 720.60 × 404.56
  4. Step 4: Simplify right side
    522x = 291,525.94
  5. Step 5: Solve for x
    x = 291,525.94/522
  6. Step 6: Final answer
    x = 558.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.