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Finding the Fourth Proportional to 719.60, 992.88 and 409.04

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Solution

The fourth proportional to 719.60, 992.88 and 409.04 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.60 : 992.88 = 409.04 : x
  2. Step 2: Convert to fraction form
    719.60/992.88 = 409.04/x
  3. Step 3: Cross multiply
    719.60x = 992.88 × 409.04
  4. Step 4: Simplify right side
    719.60x = 406,127.64
  5. Step 5: Solve for x
    x = 406,127.64/719.60
  6. Step 6: Final answer
    x = 564.38

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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.