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Finding the Fourth Proportional to 666.64, 998.82 and 435.40

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Solution

The fourth proportional to 666.64, 998.82 and 435.40 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 998.82 = 435.40 : x
  2. Step 2: Convert to fraction form
    666.64/998.82 = 435.40/x
  3. Step 3: Cross multiply
    666.64x = 998.82 × 435.40
  4. Step 4: Simplify right side
    666.64x = 434,886.23
  5. Step 5: Solve for x
    x = 434,886.23/666.64
  6. Step 6: Final answer
    x = 652.36

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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.