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Finding the Fourth Proportional to 360.68, 538.16 and 352.37

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Solution

The fourth proportional to 360.68, 538.16 and 352.37 is: 525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.68 : 538.16 = 352.37 : x
  2. Step 2: Convert to fraction form
    360.68/538.16 = 352.37/x
  3. Step 3: Cross multiply
    360.68x = 538.16 × 352.37
  4. Step 4: Simplify right side
    360.68x = 189,631.02
  5. Step 5: Solve for x
    x = 189,631.02/360.68
  6. Step 6: Final answer
    x = 525.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.