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Finding the Fourth Proportional to 665.06, 917.88 and 370.40

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Solution

The fourth proportional to 665.06, 917.88 and 370.40 is: 511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.06 : 917.88 = 370.40 : x
  2. Step 2: Convert to fraction form
    665.06/917.88 = 370.40/x
  3. Step 3: Cross multiply
    665.06x = 917.88 × 370.40
  4. Step 4: Simplify right side
    665.06x = 339,982.75
  5. Step 5: Solve for x
    x = 339,982.75/665.06
  6. Step 6: Final answer
    x = 511.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.