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Finding the Fourth Proportional to 530.18, 731.72 and 344.22

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Solution

The fourth proportional to 530.18, 731.72 and 344.22 is: 475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.18 : 731.72 = 344.22 : x
  2. Step 2: Convert to fraction form
    530.18/731.72 = 344.22/x
  3. Step 3: Cross multiply
    530.18x = 731.72 × 344.22
  4. Step 4: Simplify right side
    530.18x = 251,872.66
  5. Step 5: Solve for x
    x = 251,872.66/530.18
  6. Step 6: Final answer
    x = 475.07

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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.