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Finding the Fourth Proportional to 530.27, 795.41 and 165.05

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Solution

The fourth proportional to 530.27, 795.41 and 165.05 is: 247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.27 : 795.41 = 165.05 : x
  2. Step 2: Convert to fraction form
    530.27/795.41 = 165.05/x
  3. Step 3: Cross multiply
    530.27x = 795.41 × 165.05
  4. Step 4: Simplify right side
    530.27x = 131,282.42
  5. Step 5: Solve for x
    x = 131,282.42/530.27
  6. Step 6: Final answer
    x = 247.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.