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Finding the Fourth Proportional to 975.06, 1,462.56 and 397.50

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Solution

The fourth proportional to 975.06, 1,462.56 and 397.50 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.06 : 1,462.56 = 397.50 : x
  2. Step 2: Convert to fraction form
    975.06/1,462.56 = 397.50/x
  3. Step 3: Cross multiply
    975.06x = 1,462.56 × 397.50
  4. Step 4: Simplify right side
    975.06x = 581,367.60
  5. Step 5: Solve for x
    x = 581,367.60/975.06
  6. Step 6: Final answer
    x = 596.24

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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.