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Finding the Fourth Proportional to 676.84, 934.06 and 378.12

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Solution

The fourth proportional to 676.84, 934.06 and 378.12 is: 521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 934.06 = 378.12 : x
  2. Step 2: Convert to fraction form
    676.84/934.06 = 378.12/x
  3. Step 3: Cross multiply
    676.84x = 934.06 × 378.12
  4. Step 4: Simplify right side
    676.84x = 353,186.77
  5. Step 5: Solve for x
    x = 353,186.77/676.84
  6. Step 6: Final answer
    x = 521.82

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Double scale
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1.5x scale

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.