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Finding the Fourth Proportional to 428.54, 591.20 and 260.48

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Solution

The fourth proportional to 428.54, 591.20 and 260.48 is: 359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 591.20 = 260.48 : x
  2. Step 2: Convert to fraction form
    428.54/591.20 = 260.48/x
  3. Step 3: Cross multiply
    428.54x = 591.20 × 260.48
  4. Step 4: Simplify right side
    428.54x = 153,995.78
  5. Step 5: Solve for x
    x = 153,995.78/428.54
  6. Step 6: Final answer
    x = 359.35

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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.