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Finding the Fourth Proportional to 530.96, 796.42 and 184.32

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Solution

The fourth proportional to 530.96, 796.42 and 184.32 is: 276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.42 = 184.32 : x
  2. Step 2: Convert to fraction form
    530.96/796.42 = 184.32/x
  3. Step 3: Cross multiply
    530.96x = 796.42 × 184.32
  4. Step 4: Simplify right side
    530.96x = 146,796.13
  5. Step 5: Solve for x
    x = 146,796.13/530.96
  6. Step 6: Final answer
    x = 276.47

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Why These Related Problems?

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