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Finding the Fourth Proportional to 948.69, 1,423.01 and 332.43

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Solution

The fourth proportional to 948.69, 1,423.01 and 332.43 is: 498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.69 : 1,423.01 = 332.43 : x
  2. Step 2: Convert to fraction form
    948.69/1,423.01 = 332.43/x
  3. Step 3: Cross multiply
    948.69x = 1,423.01 × 332.43
  4. Step 4: Simplify right side
    948.69x = 473,049.55
  5. Step 5: Solve for x
    x = 473,049.55/948.69
  6. Step 6: Final answer
    x = 498.63

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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.