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Finding the Fourth Proportional to 530.46, 794.54 and 324.41

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Solution

The fourth proportional to 530.46, 794.54 and 324.41 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.46 : 794.54 = 324.41 : x
  2. Step 2: Convert to fraction form
    530.46/794.54 = 324.41/x
  3. Step 3: Cross multiply
    530.46x = 794.54 × 324.41
  4. Step 4: Simplify right side
    530.46x = 257,753.56
  5. Step 5: Solve for x
    x = 257,753.56/530.46
  6. Step 6: Final answer
    x = 485.91

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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.