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Finding the Fourth Proportional to 666.90, 920.32 and 372.16

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Solution

The fourth proportional to 666.90, 920.32 and 372.16 is: 513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 920.32 = 372.16 : x
  2. Step 2: Convert to fraction form
    666.90/920.32 = 372.16/x
  3. Step 3: Cross multiply
    666.90x = 920.32 × 372.16
  4. Step 4: Simplify right side
    666.90x = 342,503.06
  5. Step 5: Solve for x
    x = 342,503.06/666.90
  6. Step 6: Final answer
    x = 513.57

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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.