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Finding the Fourth Proportional to 688.30, 1,032.58 and 255.44

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Solution

The fourth proportional to 688.30, 1,032.58 and 255.44 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.30 : 1,032.58 = 255.44 : x
  2. Step 2: Convert to fraction form
    688.30/1,032.58 = 255.44/x
  3. Step 3: Cross multiply
    688.30x = 1,032.58 × 255.44
  4. Step 4: Simplify right side
    688.30x = 263,762.24
  5. Step 5: Solve for x
    x = 263,762.24/688.30
  6. Step 6: Final answer
    x = 383.21

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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.