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Finding the Fourth Proportional to 830.32, 1,245.24 and 282.38

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Solution

The fourth proportional to 830.32, 1,245.24 and 282.38 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.32 : 1,245.24 = 282.38 : x
  2. Step 2: Convert to fraction form
    830.32/1,245.24 = 282.38/x
  3. Step 3: Cross multiply
    830.32x = 1,245.24 × 282.38
  4. Step 4: Simplify right side
    830.32x = 351,624.65
  5. Step 5: Solve for x
    x = 351,624.65/830.32
  6. Step 6: Final answer
    x = 423.48

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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.