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Finding the Fourth Proportional to 556.36, 767.04 and 409

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Solution

The fourth proportional to 556.36, 767.04 and 409 is: 563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.36 : 767.04 = 409 : x
  2. Step 2: Convert to fraction form
    556.36/767.04 = 409/x
  3. Step 3: Cross multiply
    556.36x = 767.04 × 409
  4. Step 4: Simplify right side
    556.36x = 313,719.36
  5. Step 5: Solve for x
    x = 313,719.36/556.36
  6. Step 6: Final answer
    x = 563.88

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