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Finding the Fourth Proportional to 676.35, 933.53 and 440.64

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Solution

The fourth proportional to 676.35, 933.53 and 440.64 is: 608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.35 : 933.53 = 440.64 : x
  2. Step 2: Convert to fraction form
    676.35/933.53 = 440.64/x
  3. Step 3: Cross multiply
    676.35x = 933.53 × 440.64
  4. Step 4: Simplify right side
    676.35x = 411,348.46
  5. Step 5: Solve for x
    x = 411,348.46/676.35
  6. Step 6: Final answer
    x = 608.19

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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.