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Finding the Fourth Proportional to 676.18, 933.20 and 466.28

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Solution

The fourth proportional to 676.18, 933.20 and 466.28 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.18 : 933.20 = 466.28 : x
  2. Step 2: Convert to fraction form
    676.18/933.20 = 466.28/x
  3. Step 3: Cross multiply
    676.18x = 933.20 × 466.28
  4. Step 4: Simplify right side
    676.18x = 435,135.99
  5. Step 5: Solve for x
    x = 435,135.99/676.18
  6. Step 6: Final answer
    x = 643.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.