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Finding the Fourth Proportional to 675.57, 1,012.80 and 305.40

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Solution

The fourth proportional to 675.57, 1,012.80 and 305.40 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.57 : 1,012.80 = 305.40 : x
  2. Step 2: Convert to fraction form
    675.57/1,012.80 = 305.40/x
  3. Step 3: Cross multiply
    675.57x = 1,012.80 × 305.40
  4. Step 4: Simplify right side
    675.57x = 309,309.12
  5. Step 5: Solve for x
    x = 309,309.12/675.57
  6. Step 6: Final answer
    x = 457.85

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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.