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Finding the Fourth Proportional to 530.60, 796.41 and 287.64

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Solution

The fourth proportional to 530.60, 796.41 and 287.64 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 796.41 = 287.64 : x
  2. Step 2: Convert to fraction form
    530.60/796.41 = 287.64/x
  3. Step 3: Cross multiply
    530.60x = 796.41 × 287.64
  4. Step 4: Simplify right side
    530.60x = 229,079.37
  5. Step 5: Solve for x
    x = 229,079.37/530.60
  6. Step 6: Final answer
    x = 431.74

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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.