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Finding the Fourth Proportional to 444.51, 613.50 and 320.58

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Solution

The fourth proportional to 444.51, 613.50 and 320.58 is: 442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.51 : 613.50 = 320.58 : x
  2. Step 2: Convert to fraction form
    444.51/613.50 = 320.58/x
  3. Step 3: Cross multiply
    444.51x = 613.50 × 320.58
  4. Step 4: Simplify right side
    444.51x = 196,675.83
  5. Step 5: Solve for x
    x = 196,675.83/444.51
  6. Step 6: Final answer
    x = 442.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.