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Finding the Fourth Proportional to 948.42, 1,422.64 and 299.16

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Solution

The fourth proportional to 948.42, 1,422.64 and 299.16 is: 448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,422.64 = 299.16 : x
  2. Step 2: Convert to fraction form
    948.42/1,422.64 = 299.16/x
  3. Step 3: Cross multiply
    948.42x = 1,422.64 × 299.16
  4. Step 4: Simplify right side
    948.42x = 425,596.98
  5. Step 5: Solve for x
    x = 425,596.98/948.42
  6. Step 6: Final answer
    x = 448.74

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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.