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Finding the Fourth Proportional to 403.68, 557.14 and 246.40

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Solution

The fourth proportional to 403.68, 557.14 and 246.40 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 557.14 = 246.40 : x
  2. Step 2: Convert to fraction form
    403.68/557.14 = 246.40/x
  3. Step 3: Cross multiply
    403.68x = 557.14 × 246.40
  4. Step 4: Simplify right side
    403.68x = 137,279.30
  5. Step 5: Solve for x
    x = 137,279.30/403.68
  6. Step 6: Final answer
    x = 340.07

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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.