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Finding the Fourth Proportional to 423.52, 583.96 and 295.44

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Solution

The fourth proportional to 423.52, 583.96 and 295.44 is: 407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.52 : 583.96 = 295.44 : x
  2. Step 2: Convert to fraction form
    423.52/583.96 = 295.44/x
  3. Step 3: Cross multiply
    423.52x = 583.96 × 295.44
  4. Step 4: Simplify right side
    423.52x = 172,525.14
  5. Step 5: Solve for x
    x = 172,525.14/423.52
  6. Step 6: Final answer
    x = 407.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.