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Finding the Fourth Proportional to 957.64, 1,436.53 and 308.84

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Solution

The fourth proportional to 957.64, 1,436.53 and 308.84 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.64 : 1,436.53 = 308.84 : x
  2. Step 2: Convert to fraction form
    957.64/1,436.53 = 308.84/x
  3. Step 3: Cross multiply
    957.64x = 1,436.53 × 308.84
  4. Step 4: Simplify right side
    957.64x = 443,657.93
  5. Step 5: Solve for x
    x = 443,657.93/957.64
  6. Step 6: Final answer
    x = 463.28

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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.