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Finding the Fourth Proportional to 678.95, 936.57 and 442.56

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Solution

The fourth proportional to 678.95, 936.57 and 442.56 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 936.57 = 442.56 : x
  2. Step 2: Convert to fraction form
    678.95/936.57 = 442.56/x
  3. Step 3: Cross multiply
    678.95x = 936.57 × 442.56
  4. Step 4: Simplify right side
    678.95x = 414,490.08
  5. Step 5: Solve for x
    x = 414,490.08/678.95
  6. Step 6: Final answer
    x = 610.48

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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.