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Finding the Fourth Proportional to 955.29, 1,432.50 and 377.77

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Solution

The fourth proportional to 955.29, 1,432.50 and 377.77 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.29 : 1,432.50 = 377.77 : x
  2. Step 2: Convert to fraction form
    955.29/1,432.50 = 377.77/x
  3. Step 3: Cross multiply
    955.29x = 1,432.50 × 377.77
  4. Step 4: Simplify right side
    955.29x = 541,153.64
  5. Step 5: Solve for x
    x = 541,153.64/955.29
  6. Step 6: Final answer
    x = 566.48

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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.