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Finding the Fourth Proportional to 957.70, 1,436.69 and 332.92

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Solution

The fourth proportional to 957.70, 1,436.69 and 332.92 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,436.69 = 332.92 : x
  2. Step 2: Convert to fraction form
    957.70/1,436.69 = 332.92/x
  3. Step 3: Cross multiply
    957.70x = 1,436.69 × 332.92
  4. Step 4: Simplify right side
    957.70x = 478,302.83
  5. Step 5: Solve for x
    x = 478,302.83/957.70
  6. Step 6: Final answer
    x = 499.43

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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.