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Finding the Fourth Proportional to 607.48, 911.40 and 256.26

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Solution

The fourth proportional to 607.48, 911.40 and 256.26 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.48 : 911.40 = 256.26 : x
  2. Step 2: Convert to fraction form
    607.48/911.40 = 256.26/x
  3. Step 3: Cross multiply
    607.48x = 911.40 × 256.26
  4. Step 4: Simplify right side
    607.48x = 233,555.36
  5. Step 5: Solve for x
    x = 233,555.36/607.48
  6. Step 6: Final answer
    x = 384.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.