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Finding the Fourth Proportional to 661.08, 913.40 and 461.64

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Solution

The fourth proportional to 661.08, 913.40 and 461.64 is: 637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.08 : 913.40 = 461.64 : x
  2. Step 2: Convert to fraction form
    661.08/913.40 = 461.64/x
  3. Step 3: Cross multiply
    661.08x = 913.40 × 461.64
  4. Step 4: Simplify right side
    661.08x = 421,661.98
  5. Step 5: Solve for x
    x = 421,661.98/661.08
  6. Step 6: Final answer
    x = 637.84

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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.