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Finding the Fourth Proportional to 677.51, 1,015.98 and 330.74

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Solution

The fourth proportional to 677.51, 1,015.98 and 330.74 is: 495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.51 : 1,015.98 = 330.74 : x
  2. Step 2: Convert to fraction form
    677.51/1,015.98 = 330.74/x
  3. Step 3: Cross multiply
    677.51x = 1,015.98 × 330.74
  4. Step 4: Simplify right side
    677.51x = 336,031.22
  5. Step 5: Solve for x
    x = 336,031.22/677.51
  6. Step 6: Final answer
    x = 495.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.