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Finding the Fourth Proportional to 506.52, 758.40 and 397.68

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Solution

The fourth proportional to 506.52, 758.40 and 397.68 is: 595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 758.40 = 397.68 : x
  2. Step 2: Convert to fraction form
    506.52/758.40 = 397.68/x
  3. Step 3: Cross multiply
    506.52x = 758.40 × 397.68
  4. Step 4: Simplify right side
    506.52x = 301,600.51
  5. Step 5: Solve for x
    x = 301,600.51/506.52
  6. Step 6: Final answer
    x = 595.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.