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Finding the Fourth Proportional to 953.08, 1,429.84 and 405.44

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Solution

The fourth proportional to 953.08, 1,429.84 and 405.44 is: 608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.08 : 1,429.84 = 405.44 : x
  2. Step 2: Convert to fraction form
    953.08/1,429.84 = 405.44/x
  3. Step 3: Cross multiply
    953.08x = 1,429.84 × 405.44
  4. Step 4: Simplify right side
    953.08x = 579,714.33
  5. Step 5: Solve for x
    x = 579,714.33/953.08
  6. Step 6: Final answer
    x = 608.25

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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.