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Finding the Fourth Proportional to 665.07, 917.85 and 370.41

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Solution

The fourth proportional to 665.07, 917.85 and 370.41 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.07 : 917.85 = 370.41 : x
  2. Step 2: Convert to fraction form
    665.07/917.85 = 370.41/x
  3. Step 3: Cross multiply
    665.07x = 917.85 × 370.41
  4. Step 4: Simplify right side
    665.07x = 339,980.82
  5. Step 5: Solve for x
    x = 339,980.82/665.07
  6. Step 6: Final answer
    x = 511.20

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Why These Related Problems?

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