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Finding the Fourth Proportional to 556.13, 828.57 and 541.46

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Solution

The fourth proportional to 556.13, 828.57 and 541.46 is: 806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 828.57 = 541.46 : x
  2. Step 2: Convert to fraction form
    556.13/828.57 = 541.46/x
  3. Step 3: Cross multiply
    556.13x = 828.57 × 541.46
  4. Step 4: Simplify right side
    556.13x = 448,637.51
  5. Step 5: Solve for x
    x = 448,637.51/556.13
  6. Step 6: Final answer
    x = 806.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.