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Finding the Fourth Proportional to 530.09, 731.67 and 306.06

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Solution

The fourth proportional to 530.09, 731.67 and 306.06 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.09 : 731.67 = 306.06 : x
  2. Step 2: Convert to fraction form
    530.09/731.67 = 306.06/x
  3. Step 3: Cross multiply
    530.09x = 731.67 × 306.06
  4. Step 4: Simplify right side
    530.09x = 223,935.14
  5. Step 5: Solve for x
    x = 223,935.14/530.09
  6. Step 6: Final answer
    x = 422.44

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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.