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Finding the Fourth Proportional to 668.84, 921.06 and 461.48

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Solution

The fourth proportional to 668.84, 921.06 and 461.48 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.84 : 921.06 = 461.48 : x
  2. Step 2: Convert to fraction form
    668.84/921.06 = 461.48/x
  3. Step 3: Cross multiply
    668.84x = 921.06 × 461.48
  4. Step 4: Simplify right side
    668.84x = 425,050.77
  5. Step 5: Solve for x
    x = 425,050.77/668.84
  6. Step 6: Final answer
    x = 635.50

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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.