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Finding the Fourth Proportional to 522.12, 720.48 and 301.08

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Solution

The fourth proportional to 522.12, 720.48 and 301.08 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 720.48 = 301.08 : x
  2. Step 2: Convert to fraction form
    522.12/720.48 = 301.08/x
  3. Step 3: Cross multiply
    522.12x = 720.48 × 301.08
  4. Step 4: Simplify right side
    522.12x = 216,923.69
  5. Step 5: Solve for x
    x = 216,923.69/522.12
  6. Step 6: Final answer
    x = 415.47

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