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Finding the Fourth Proportional to 293.60, 442.01 and 268.08

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Solution

The fourth proportional to 293.60, 442.01 and 268.08 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 442.01 = 268.08 : x
  2. Step 2: Convert to fraction form
    293.60/442.01 = 268.08/x
  3. Step 3: Cross multiply
    293.60x = 442.01 × 268.08
  4. Step 4: Simplify right side
    293.60x = 118,494.71
  5. Step 5: Solve for x
    x = 118,494.71/293.60
  6. Step 6: Final answer
    x = 403.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.