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Finding the Fourth Proportional to 953.82, 1,430.70 and 304.54

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Solution

The fourth proportional to 953.82, 1,430.70 and 304.54 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.82 : 1,430.70 = 304.54 : x
  2. Step 2: Convert to fraction form
    953.82/1,430.70 = 304.54/x
  3. Step 3: Cross multiply
    953.82x = 1,430.70 × 304.54
  4. Step 4: Simplify right side
    953.82x = 435,705.38
  5. Step 5: Solve for x
    x = 435,705.38/953.82
  6. Step 6: Final answer
    x = 456.80

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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.