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Finding the Fourth Proportional to 530.36, 729.72 and 518.09

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Solution

The fourth proportional to 530.36, 729.72 and 518.09 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.36 : 729.72 = 518.09 : x
  2. Step 2: Convert to fraction form
    530.36/729.72 = 518.09/x
  3. Step 3: Cross multiply
    530.36x = 729.72 × 518.09
  4. Step 4: Simplify right side
    530.36x = 378,060.63
  5. Step 5: Solve for x
    x = 378,060.63/530.36
  6. Step 6: Final answer
    x = 712.84

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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.