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Finding the Fourth Proportional to 530.68, 796.16 and 257.08

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Solution

The fourth proportional to 530.68, 796.16 and 257.08 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.68 : 796.16 = 257.08 : x
  2. Step 2: Convert to fraction form
    530.68/796.16 = 257.08/x
  3. Step 3: Cross multiply
    530.68x = 796.16 × 257.08
  4. Step 4: Simplify right side
    530.68x = 204,676.81
  5. Step 5: Solve for x
    x = 204,676.81/530.68
  6. Step 6: Final answer
    x = 385.69

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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.