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Finding the Fourth Proportional to 608.47, 911.54 and 511.58

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Solution

The fourth proportional to 608.47, 911.54 and 511.58 is: 766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 911.54 = 511.58 : x
  2. Step 2: Convert to fraction form
    608.47/911.54 = 511.58/x
  3. Step 3: Cross multiply
    608.47x = 911.54 × 511.58
  4. Step 4: Simplify right side
    608.47x = 466,329.19
  5. Step 5: Solve for x
    x = 466,329.19/608.47
  6. Step 6: Final answer
    x = 766.40

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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.