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Finding the Fourth Proportional to 293.06, 438.51 and 260.30

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Solution

The fourth proportional to 293.06, 438.51 and 260.30 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 438.51 = 260.30 : x
  2. Step 2: Convert to fraction form
    293.06/438.51 = 260.30/x
  3. Step 3: Cross multiply
    293.06x = 438.51 × 260.30
  4. Step 4: Simplify right side
    293.06x = 114,144.15
  5. Step 5: Solve for x
    x = 114,144.15/293.06
  6. Step 6: Final answer
    x = 389.49

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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.