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Finding the Fourth Proportional to 665.50, 918.43 and 370.77

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Solution

The fourth proportional to 665.50, 918.43 and 370.77 is: 511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.50 : 918.43 = 370.77 : x
  2. Step 2: Convert to fraction form
    665.50/918.43 = 370.77/x
  3. Step 3: Cross multiply
    665.50x = 918.43 × 370.77
  4. Step 4: Simplify right side
    665.50x = 340,526.29
  5. Step 5: Solve for x
    x = 340,526.29/665.50
  6. Step 6: Final answer
    x = 511.68

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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.