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Finding the Fourth Proportional to 530.44, 795.92 and 253.10

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Solution

The fourth proportional to 530.44, 795.92 and 253.10 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 795.92 = 253.10 : x
  2. Step 2: Convert to fraction form
    530.44/795.92 = 253.10/x
  3. Step 3: Cross multiply
    530.44x = 795.92 × 253.10
  4. Step 4: Simplify right side
    530.44x = 201,449.97
  5. Step 5: Solve for x
    x = 201,449.97/530.44
  6. Step 6: Final answer
    x = 379.78

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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.