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Finding the Fourth Proportional to 530.21, 731.73 and 320.44

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Solution

The fourth proportional to 530.21, 731.73 and 320.44 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.21 : 731.73 = 320.44 : x
  2. Step 2: Convert to fraction form
    530.21/731.73 = 320.44/x
  3. Step 3: Cross multiply
    530.21x = 731.73 × 320.44
  4. Step 4: Simplify right side
    530.21x = 234,475.56
  5. Step 5: Solve for x
    x = 234,475.56/530.21
  6. Step 6: Final answer
    x = 442.23

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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.