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Finding the Fourth Proportional to 528.12, 790.64 and 308.07

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Solution

The fourth proportional to 528.12, 790.64 and 308.07 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.12 : 790.64 = 308.07 : x
  2. Step 2: Convert to fraction form
    528.12/790.64 = 308.07/x
  3. Step 3: Cross multiply
    528.12x = 790.64 × 308.07
  4. Step 4: Simplify right side
    528.12x = 243,570.92
  5. Step 5: Solve for x
    x = 243,570.92/528.12
  6. Step 6: Final answer
    x = 461.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.