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Finding the Fourth Proportional to 666.77, 999.32 and 435.78

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Solution

The fourth proportional to 666.77, 999.32 and 435.78 is: 653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 999.32 = 435.78 : x
  2. Step 2: Convert to fraction form
    666.77/999.32 = 435.78/x
  3. Step 3: Cross multiply
    666.77x = 999.32 × 435.78
  4. Step 4: Simplify right side
    666.77x = 435,481.49
  5. Step 5: Solve for x
    x = 435,481.49/666.77
  6. Step 6: Final answer
    x = 653.13

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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.