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Finding the Fourth Proportional to 975.42, 1,463.09 and 282.06

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Solution

The fourth proportional to 975.42, 1,463.09 and 282.06 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,463.09 = 282.06 : x
  2. Step 2: Convert to fraction form
    975.42/1,463.09 = 282.06/x
  3. Step 3: Cross multiply
    975.42x = 1,463.09 × 282.06
  4. Step 4: Simplify right side
    975.42x = 412,677.76
  5. Step 5: Solve for x
    x = 412,677.76/975.42
  6. Step 6: Final answer
    x = 423.08

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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.