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Finding the Fourth Proportional to 530.69, 731.85 and 344.09

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Solution

The fourth proportional to 530.69, 731.85 and 344.09 is: 474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 731.85 = 344.09 : x
  2. Step 2: Convert to fraction form
    530.69/731.85 = 344.09/x
  3. Step 3: Cross multiply
    530.69x = 731.85 × 344.09
  4. Step 4: Simplify right side
    530.69x = 251,822.27
  5. Step 5: Solve for x
    x = 251,822.27/530.69
  6. Step 6: Final answer
    x = 474.52

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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.