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Finding the Fourth Proportional to 975.65, 1,463.47 and 245.23

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Solution

The fourth proportional to 975.65, 1,463.47 and 245.23 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,463.47 = 245.23 : x
  2. Step 2: Convert to fraction form
    975.65/1,463.47 = 245.23/x
  3. Step 3: Cross multiply
    975.65x = 1,463.47 × 245.23
  4. Step 4: Simplify right side
    975.65x = 358,882.48
  5. Step 5: Solve for x
    x = 358,882.48/975.65
  6. Step 6: Final answer
    x = 367.84

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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.