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Finding the Fourth Proportional to 953.18, 1,429.98 and 328.54

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Solution

The fourth proportional to 953.18, 1,429.98 and 328.54 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.18 : 1,429.98 = 328.54 : x
  2. Step 2: Convert to fraction form
    953.18/1,429.98 = 328.54/x
  3. Step 3: Cross multiply
    953.18x = 1,429.98 × 328.54
  4. Step 4: Simplify right side
    953.18x = 469,801.72
  5. Step 5: Solve for x
    x = 469,801.72/953.18
  6. Step 6: Final answer
    x = 492.88

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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.