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Finding the Fourth Proportional to 431.19, 645.64 and 362.54

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Solution

The fourth proportional to 431.19, 645.64 and 362.54 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 645.64 = 362.54 : x
  2. Step 2: Convert to fraction form
    431.19/645.64 = 362.54/x
  3. Step 3: Cross multiply
    431.19x = 645.64 × 362.54
  4. Step 4: Simplify right side
    431.19x = 234,071.03
  5. Step 5: Solve for x
    x = 234,071.03/431.19
  6. Step 6: Final answer
    x = 542.85

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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.