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Finding the Fourth Proportional to 618.09, 852.42 and 384.81

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Solution

The fourth proportional to 618.09, 852.42 and 384.81 is: 530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.09 : 852.42 = 384.81 : x
  2. Step 2: Convert to fraction form
    618.09/852.42 = 384.81/x
  3. Step 3: Cross multiply
    618.09x = 852.42 × 384.81
  4. Step 4: Simplify right side
    618.09x = 328,019.74
  5. Step 5: Solve for x
    x = 328,019.74/618.09
  6. Step 6: Final answer
    x = 530.70

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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.