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Finding the Fourth Proportional to 530.43, 794.07 and 394.09

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Solution

The fourth proportional to 530.43, 794.07 and 394.09 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.43 : 794.07 = 394.09 : x
  2. Step 2: Convert to fraction form
    530.43/794.07 = 394.09/x
  3. Step 3: Cross multiply
    530.43x = 794.07 × 394.09
  4. Step 4: Simplify right side
    530.43x = 312,935.05
  5. Step 5: Solve for x
    x = 312,935.05/530.43
  6. Step 6: Final answer
    x = 589.96

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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.