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Finding the Fourth Proportional to 520.20, 716.43 and 432.07

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Solution

The fourth proportional to 520.20, 716.43 and 432.07 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 716.43 = 432.07 : x
  2. Step 2: Convert to fraction form
    520.20/716.43 = 432.07/x
  3. Step 3: Cross multiply
    520.20x = 716.43 × 432.07
  4. Step 4: Simplify right side
    520.20x = 309,546.29
  5. Step 5: Solve for x
    x = 309,546.29/520.20
  6. Step 6: Final answer
    x = 595.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.