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Finding the Fourth Proportional to 387.59, 578.37 and 353.09

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Solution

The fourth proportional to 387.59, 578.37 and 353.09 is: 526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.59 : 578.37 = 353.09 : x
  2. Step 2: Convert to fraction form
    387.59/578.37 = 353.09/x
  3. Step 3: Cross multiply
    387.59x = 578.37 × 353.09
  4. Step 4: Simplify right side
    387.59x = 204,214.90
  5. Step 5: Solve for x
    x = 204,214.90/387.59
  6. Step 6: Final answer
    x = 526.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.