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Finding the Fourth Proportional to 387.12, 579.80 and 305.52

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Solution

The fourth proportional to 387.12, 579.80 and 305.52 is: 457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.12 : 579.80 = 305.52 : x
  2. Step 2: Convert to fraction form
    387.12/579.80 = 305.52/x
  3. Step 3: Cross multiply
    387.12x = 579.80 × 305.52
  4. Step 4: Simplify right side
    387.12x = 177,140.50
  5. Step 5: Solve for x
    x = 177,140.50/387.12
  6. Step 6: Final answer
    x = 457.59

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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.