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Finding the Fourth Proportional to 530.95, 796.12 and 421.96

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Solution

The fourth proportional to 530.95, 796.12 and 421.96 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.95 : 796.12 = 421.96 : x
  2. Step 2: Convert to fraction form
    530.95/796.12 = 421.96/x
  3. Step 3: Cross multiply
    530.95x = 796.12 × 421.96
  4. Step 4: Simplify right side
    530.95x = 335,926.81
  5. Step 5: Solve for x
    x = 335,926.81/530.95
  6. Step 6: Final answer
    x = 632.70

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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.