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Finding the Fourth Proportional to 522, 720.45 and 301.10

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Solution

The fourth proportional to 522, 720.45 and 301.10 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 720.45 = 301.10 : x
  2. Step 2: Convert to fraction form
    522/720.45 = 301.10/x
  3. Step 3: Cross multiply
    522x = 720.45 × 301.10
  4. Step 4: Simplify right side
    522x = 216,923.89
  5. Step 5: Solve for x
    x = 216,923.89/522
  6. Step 6: Final answer
    x = 415.56

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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.