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Finding the Fourth Proportional to 456.86, 685.49 and 294.86

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Solution

The fourth proportional to 456.86, 685.49 and 294.86 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 685.49 = 294.86 : x
  2. Step 2: Convert to fraction form
    456.86/685.49 = 294.86/x
  3. Step 3: Cross multiply
    456.86x = 685.49 × 294.86
  4. Step 4: Simplify right side
    456.86x = 202,123.58
  5. Step 5: Solve for x
    x = 202,123.58/456.86
  6. Step 6: Final answer
    x = 442.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.