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Finding the Fourth Proportional to 676.16, 933.14 and 381.52

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Solution

The fourth proportional to 676.16, 933.14 and 381.52 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 933.14 = 381.52 : x
  2. Step 2: Convert to fraction form
    676.16/933.14 = 381.52/x
  3. Step 3: Cross multiply
    676.16x = 933.14 × 381.52
  4. Step 4: Simplify right side
    676.16x = 356,011.57
  5. Step 5: Solve for x
    x = 356,011.57/676.16
  6. Step 6: Final answer
    x = 526.52

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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.