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Finding the Fourth Proportional to 953.25, 1,429.87 and 405.33

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Solution

The fourth proportional to 953.25, 1,429.87 and 405.33 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.25 : 1,429.87 = 405.33 : x
  2. Step 2: Convert to fraction form
    953.25/1,429.87 = 405.33/x
  3. Step 3: Cross multiply
    953.25x = 1,429.87 × 405.33
  4. Step 4: Simplify right side
    953.25x = 579,569.21
  5. Step 5: Solve for x
    x = 579,569.21/953.25
  6. Step 6: Final answer
    x = 607.99

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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.