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Finding the Fourth Proportional to 954.29, 1,431.16 and 434

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Solution

The fourth proportional to 954.29, 1,431.16 and 434 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.29 : 1,431.16 = 434 : x
  2. Step 2: Convert to fraction form
    954.29/1,431.16 = 434/x
  3. Step 3: Cross multiply
    954.29x = 1,431.16 × 434
  4. Step 4: Simplify right side
    954.29x = 621,123.44
  5. Step 5: Solve for x
    x = 621,123.44/954.29
  6. Step 6: Final answer
    x = 650.87

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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.