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Finding the Fourth Proportional to 953.26, 1,429.47 and 294.98

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Solution

The fourth proportional to 953.26, 1,429.47 and 294.98 is: 442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.26 : 1,429.47 = 294.98 : x
  2. Step 2: Convert to fraction form
    953.26/1,429.47 = 294.98/x
  3. Step 3: Cross multiply
    953.26x = 1,429.47 × 294.98
  4. Step 4: Simplify right side
    953.26x = 421,657.91
  5. Step 5: Solve for x
    x = 421,657.91/953.26
  6. Step 6: Final answer
    x = 442.33

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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.