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Finding the Fourth Proportional to 530.06, 794.97 and 427.95

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Solution

The fourth proportional to 530.06, 794.97 and 427.95 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.06 : 794.97 = 427.95 : x
  2. Step 2: Convert to fraction form
    530.06/794.97 = 427.95/x
  3. Step 3: Cross multiply
    530.06x = 794.97 × 427.95
  4. Step 4: Simplify right side
    530.06x = 340,207.41
  5. Step 5: Solve for x
    x = 340,207.41/530.06
  6. Step 6: Final answer
    x = 641.83

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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.