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Finding the Fourth Proportional to 607.40, 911.90 and 282.58

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Solution

The fourth proportional to 607.40, 911.90 and 282.58 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.40 : 911.90 = 282.58 : x
  2. Step 2: Convert to fraction form
    607.40/911.90 = 282.58/x
  3. Step 3: Cross multiply
    607.40x = 911.90 × 282.58
  4. Step 4: Simplify right side
    607.40x = 257,684.70
  5. Step 5: Solve for x
    x = 257,684.70/607.40
  6. Step 6: Final answer
    x = 424.24

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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.