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Finding the Fourth Proportional to 676.47, 933.48 and 381.81

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Solution

The fourth proportional to 676.47, 933.48 and 381.81 is: 526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 933.48 = 381.81 : x
  2. Step 2: Convert to fraction form
    676.47/933.48 = 381.81/x
  3. Step 3: Cross multiply
    676.47x = 933.48 × 381.81
  4. Step 4: Simplify right side
    676.47x = 356,412.00
  5. Step 5: Solve for x
    x = 356,412.00/676.47
  6. Step 6: Final answer
    x = 526.87

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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.