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Finding the Fourth Proportional to 618.64, 854.13 and 397.69

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Solution

The fourth proportional to 618.64, 854.13 and 397.69 is: 549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.64 : 854.13 = 397.69 : x
  2. Step 2: Convert to fraction form
    618.64/854.13 = 397.69/x
  3. Step 3: Cross multiply
    618.64x = 854.13 × 397.69
  4. Step 4: Simplify right side
    618.64x = 339,678.96
  5. Step 5: Solve for x
    x = 339,678.96/618.64
  6. Step 6: Final answer
    x = 549.07

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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.