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Finding the Fourth Proportional to 293.64, 442.80 and 288.18

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Solution

The fourth proportional to 293.64, 442.80 and 288.18 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 442.80 = 288.18 : x
  2. Step 2: Convert to fraction form
    293.64/442.80 = 288.18/x
  3. Step 3: Cross multiply
    293.64x = 442.80 × 288.18
  4. Step 4: Simplify right side
    293.64x = 127,606.10
  5. Step 5: Solve for x
    x = 127,606.10/293.64
  6. Step 6: Final answer
    x = 434.57

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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.