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Finding the Fourth Proportional to 347.72, 480.60 and 260.24

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Solution

The fourth proportional to 347.72, 480.60 and 260.24 is: 359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 480.60 = 260.24 : x
  2. Step 2: Convert to fraction form
    347.72/480.60 = 260.24/x
  3. Step 3: Cross multiply
    347.72x = 480.60 × 260.24
  4. Step 4: Simplify right side
    347.72x = 125,068.94
  5. Step 5: Solve for x
    x = 125,068.94/347.72
  6. Step 6: Final answer
    x = 359.69

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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.