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Finding the Fourth Proportional to 677.30, 934.66 and 378.55

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Solution

The fourth proportional to 677.30, 934.66 and 378.55 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 934.66 = 378.55 : x
  2. Step 2: Convert to fraction form
    677.30/934.66 = 378.55/x
  3. Step 3: Cross multiply
    677.30x = 934.66 × 378.55
  4. Step 4: Simplify right side
    677.30x = 353,818.25
  5. Step 5: Solve for x
    x = 353,818.25/677.30
  6. Step 6: Final answer
    x = 522.39

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Half scale
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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.