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Finding the Fourth Proportional to 528.56, 794.28 and 312.20

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Solution

The fourth proportional to 528.56, 794.28 and 312.20 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.56 : 794.28 = 312.20 : x
  2. Step 2: Convert to fraction form
    528.56/794.28 = 312.20/x
  3. Step 3: Cross multiply
    528.56x = 794.28 × 312.20
  4. Step 4: Simplify right side
    528.56x = 247,974.22
  5. Step 5: Solve for x
    x = 247,974.22/528.56
  6. Step 6: Final answer
    x = 469.15

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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.