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Finding the Fourth Proportional to 530.61, 796.43 and 325.58

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Solution

The fourth proportional to 530.61, 796.43 and 325.58 is: 488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 796.43 = 325.58 : x
  2. Step 2: Convert to fraction form
    530.61/796.43 = 325.58/x
  3. Step 3: Cross multiply
    530.61x = 796.43 × 325.58
  4. Step 4: Simplify right side
    530.61x = 259,301.68
  5. Step 5: Solve for x
    x = 259,301.68/530.61
  6. Step 6: Final answer
    x = 488.69

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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.