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Finding the Fourth Proportional to 530.55, 794.96 and 510.30

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Solution

The fourth proportional to 530.55, 794.96 and 510.30 is: 764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.55 : 794.96 = 510.30 : x
  2. Step 2: Convert to fraction form
    530.55/794.96 = 510.30/x
  3. Step 3: Cross multiply
    530.55x = 794.96 × 510.30
  4. Step 4: Simplify right side
    530.55x = 405,665.54
  5. Step 5: Solve for x
    x = 405,665.54/530.55
  6. Step 6: Final answer
    x = 764.61

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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.