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Finding the Fourth Proportional to 652.58, 900.80 and 431.83

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Solution

The fourth proportional to 652.58, 900.80 and 431.83 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 900.80 = 431.83 : x
  2. Step 2: Convert to fraction form
    652.58/900.80 = 431.83/x
  3. Step 3: Cross multiply
    652.58x = 900.80 × 431.83
  4. Step 4: Simplify right side
    652.58x = 388,993.05
  5. Step 5: Solve for x
    x = 388,993.05/652.58
  6. Step 6: Final answer
    x = 596.09

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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.