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Finding the Fourth Proportional to 676.60, 933.40 and 466.45

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Solution

The fourth proportional to 676.60, 933.40 and 466.45 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 933.40 = 466.45 : x
  2. Step 2: Convert to fraction form
    676.60/933.40 = 466.45/x
  3. Step 3: Cross multiply
    676.60x = 933.40 × 466.45
  4. Step 4: Simplify right side
    676.60x = 435,383.01
  5. Step 5: Solve for x
    x = 435,383.01/676.60
  6. Step 6: Final answer
    x = 643.48

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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.