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Finding the Fourth Proportional to 530.50, 732.15 and 323.50

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Solution

The fourth proportional to 530.50, 732.15 and 323.50 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 732.15 = 323.50 : x
  2. Step 2: Convert to fraction form
    530.50/732.15 = 323.50/x
  3. Step 3: Cross multiply
    530.50x = 732.15 × 323.50
  4. Step 4: Simplify right side
    530.50x = 236,850.53
  5. Step 5: Solve for x
    x = 236,850.53/530.50
  6. Step 6: Final answer
    x = 446.47

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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.