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Finding the Fourth Proportional to 522.42, 720.86 and 289.50

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Solution

The fourth proportional to 522.42, 720.86 and 289.50 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 720.86 = 289.50 : x
  2. Step 2: Convert to fraction form
    522.42/720.86 = 289.50/x
  3. Step 3: Cross multiply
    522.42x = 720.86 × 289.50
  4. Step 4: Simplify right side
    522.42x = 208,687.52
  5. Step 5: Solve for x
    x = 208,687.52/522.42
  6. Step 6: Final answer
    x = 399.46

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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.