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Finding the Fourth Proportional to 719.60, 993.04 and 409.08

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Solution

The fourth proportional to 719.60, 993.04 and 409.08 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.60 : 993.04 = 409.08 : x
  2. Step 2: Convert to fraction form
    719.60/993.04 = 409.08/x
  3. Step 3: Cross multiply
    719.60x = 993.04 × 409.08
  4. Step 4: Simplify right side
    719.60x = 406,232.80
  5. Step 5: Solve for x
    x = 406,232.80/719.60
  6. Step 6: Final answer
    x = 564.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.