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Finding the Fourth Proportional to 431.75, 595.35 and 300.53

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Solution

The fourth proportional to 431.75, 595.35 and 300.53 is: 414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 595.35 = 300.53 : x
  2. Step 2: Convert to fraction form
    431.75/595.35 = 300.53/x
  3. Step 3: Cross multiply
    431.75x = 595.35 × 300.53
  4. Step 4: Simplify right side
    431.75x = 178,922.02
  5. Step 5: Solve for x
    x = 178,922.02/431.75
  6. Step 6: Final answer
    x = 414.41

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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.