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Finding the Fourth Proportional to 522.97, 723.26 and 457.36

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Solution

The fourth proportional to 522.97, 723.26 and 457.36 is: 632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.97 : 723.26 = 457.36 : x
  2. Step 2: Convert to fraction form
    522.97/723.26 = 457.36/x
  3. Step 3: Cross multiply
    522.97x = 723.26 × 457.36
  4. Step 4: Simplify right side
    522.97x = 330,789.53
  5. Step 5: Solve for x
    x = 330,789.53/522.97
  6. Step 6: Final answer
    x = 632.52

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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.