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Finding the Fourth Proportional to 556.32, 767.07 and 409.02

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Solution

The fourth proportional to 556.32, 767.07 and 409.02 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.32 : 767.07 = 409.02 : x
  2. Step 2: Convert to fraction form
    556.32/767.07 = 409.02/x
  3. Step 3: Cross multiply
    556.32x = 767.07 × 409.02
  4. Step 4: Simplify right side
    556.32x = 313,746.97
  5. Step 5: Solve for x
    x = 313,746.97/556.32
  6. Step 6: Final answer
    x = 563.97

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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.