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Finding the Fourth Proportional to 530.40, 796.20 and 409.20

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Solution

The fourth proportional to 530.40, 796.20 and 409.20 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 796.20 = 409.20 : x
  2. Step 2: Convert to fraction form
    530.40/796.20 = 409.20/x
  3. Step 3: Cross multiply
    530.40x = 796.20 × 409.20
  4. Step 4: Simplify right side
    530.40x = 325,805.04
  5. Step 5: Solve for x
    x = 325,805.04/530.40
  6. Step 6: Final answer
    x = 614.26

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Why These Related Problems?

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