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Finding the Fourth Proportional to 270.83, 374.32 and 260.59

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Solution

The fourth proportional to 270.83, 374.32 and 260.59 is: 360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.83 : 374.32 = 260.59 : x
  2. Step 2: Convert to fraction form
    270.83/374.32 = 260.59/x
  3. Step 3: Cross multiply
    270.83x = 374.32 × 260.59
  4. Step 4: Simplify right side
    270.83x = 97,542.75
  5. Step 5: Solve for x
    x = 97,542.75/270.83
  6. Step 6: Final answer
    x = 360.16

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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.