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Finding the Fourth Proportional to 948.36, 1,422.06 and 299.16

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Solution

The fourth proportional to 948.36, 1,422.06 and 299.16 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.36 : 1,422.06 = 299.16 : x
  2. Step 2: Convert to fraction form
    948.36/1,422.06 = 299.16/x
  3. Step 3: Cross multiply
    948.36x = 1,422.06 × 299.16
  4. Step 4: Simplify right side
    948.36x = 425,423.47
  5. Step 5: Solve for x
    x = 425,423.47/948.36
  6. Step 6: Final answer
    x = 448.59

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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.