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Finding the Fourth Proportional to 952.98, 1,429.62 and 294.70

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Solution

The fourth proportional to 952.98, 1,429.62 and 294.70 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.98 : 1,429.62 = 294.70 : x
  2. Step 2: Convert to fraction form
    952.98/1,429.62 = 294.70/x
  3. Step 3: Cross multiply
    952.98x = 1,429.62 × 294.70
  4. Step 4: Simplify right side
    952.98x = 421,308.12
  5. Step 5: Solve for x
    x = 421,308.12/952.98
  6. Step 6: Final answer
    x = 442.10

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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.