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Finding the Fourth Proportional to 975, 1,462.74 and 291

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Solution

The fourth proportional to 975, 1,462.74 and 291 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,462.74 = 291 : x
  2. Step 2: Convert to fraction form
    975/1,462.74 = 291/x
  3. Step 3: Cross multiply
    975x = 1,462.74 × 291
  4. Step 4: Simplify right side
    975x = 425,657.34
  5. Step 5: Solve for x
    x = 425,657.34/975
  6. Step 6: Final answer
    x = 436.57

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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.