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Finding the Fourth Proportional to 618.16, 926.68 and 293.64

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Solution

The fourth proportional to 618.16, 926.68 and 293.64 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 926.68 = 293.64 : x
  2. Step 2: Convert to fraction form
    618.16/926.68 = 293.64/x
  3. Step 3: Cross multiply
    618.16x = 926.68 × 293.64
  4. Step 4: Simplify right side
    618.16x = 272,110.32
  5. Step 5: Solve for x
    x = 272,110.32/618.16
  6. Step 6: Final answer
    x = 440.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.