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Finding the Fourth Proportional to 953.54, 1,430.46 and 304.23

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Solution

The fourth proportional to 953.54, 1,430.46 and 304.23 is: 456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.54 : 1,430.46 = 304.23 : x
  2. Step 2: Convert to fraction form
    953.54/1,430.46 = 304.23/x
  3. Step 3: Cross multiply
    953.54x = 1,430.46 × 304.23
  4. Step 4: Simplify right side
    953.54x = 435,188.85
  5. Step 5: Solve for x
    x = 435,188.85/953.54
  6. Step 6: Final answer
    x = 456.39

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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.