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Finding the Fourth Proportional to 953.14, 1,429.80 and 375.88

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Solution

The fourth proportional to 953.14, 1,429.80 and 375.88 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.14 : 1,429.80 = 375.88 : x
  2. Step 2: Convert to fraction form
    953.14/1,429.80 = 375.88/x
  3. Step 3: Cross multiply
    953.14x = 1,429.80 × 375.88
  4. Step 4: Simplify right side
    953.14x = 537,433.22
  5. Step 5: Solve for x
    x = 537,433.22/953.14
  6. Step 6: Final answer
    x = 563.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.