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Finding the Fourth Proportional to 428.80, 591.52 and 260.64

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Solution

The fourth proportional to 428.80, 591.52 and 260.64 is: 359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.80 : 591.52 = 260.64 : x
  2. Step 2: Convert to fraction form
    428.80/591.52 = 260.64/x
  3. Step 3: Cross multiply
    428.80x = 591.52 × 260.64
  4. Step 4: Simplify right side
    428.80x = 154,173.77
  5. Step 5: Solve for x
    x = 154,173.77/428.80
  6. Step 6: Final answer
    x = 359.55

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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.