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Finding the Fourth Proportional to 618.29, 852.92 and 419.13

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Solution

The fourth proportional to 618.29, 852.92 and 419.13 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.29 : 852.92 = 419.13 : x
  2. Step 2: Convert to fraction form
    618.29/852.92 = 419.13/x
  3. Step 3: Cross multiply
    618.29x = 852.92 × 419.13
  4. Step 4: Simplify right side
    618.29x = 357,484.36
  5. Step 5: Solve for x
    x = 357,484.36/618.29
  6. Step 6: Final answer
    x = 578.18

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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.