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Finding the Fourth Proportional to 260.64, 387.54 and 257.94

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Solution

The fourth proportional to 260.64, 387.54 and 257.94 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.64 : 387.54 = 257.94 : x
  2. Step 2: Convert to fraction form
    260.64/387.54 = 257.94/x
  3. Step 3: Cross multiply
    260.64x = 387.54 × 257.94
  4. Step 4: Simplify right side
    260.64x = 99,962.07
  5. Step 5: Solve for x
    x = 99,962.07/260.64
  6. Step 6: Final answer
    x = 383.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.