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Finding the Fourth Proportional to 953.65, 1,430.67 and 304.43

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Solution

The fourth proportional to 953.65, 1,430.67 and 304.43 is: 456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.65 : 1,430.67 = 304.43 : x
  2. Step 2: Convert to fraction form
    953.65/1,430.67 = 304.43/x
  3. Step 3: Cross multiply
    953.65x = 1,430.67 × 304.43
  4. Step 4: Simplify right side
    953.65x = 435,538.87
  5. Step 5: Solve for x
    x = 435,538.87/953.65
  6. Step 6: Final answer
    x = 456.71

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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.