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Finding the Fourth Proportional to 530.33, 731.86 and 309.43

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Solution

The fourth proportional to 530.33, 731.86 and 309.43 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.33 : 731.86 = 309.43 : x
  2. Step 2: Convert to fraction form
    530.33/731.86 = 309.43/x
  3. Step 3: Cross multiply
    530.33x = 731.86 × 309.43
  4. Step 4: Simplify right side
    530.33x = 226,457.89
  5. Step 5: Solve for x
    x = 226,457.89/530.33
  6. Step 6: Final answer
    x = 427.01

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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.