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Finding the Fourth Proportional to 509.05, 701.83 and 415.63

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Solution

The fourth proportional to 509.05, 701.83 and 415.63 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.05 : 701.83 = 415.63 : x
  2. Step 2: Convert to fraction form
    509.05/701.83 = 415.63/x
  3. Step 3: Cross multiply
    509.05x = 701.83 × 415.63
  4. Step 4: Simplify right side
    509.05x = 291,701.60
  5. Step 5: Solve for x
    x = 291,701.60/509.05
  6. Step 6: Final answer
    x = 573.03

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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.