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Finding the Fourth Proportional to 509.12, 701.36 and 420.23

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Solution

The fourth proportional to 509.12, 701.36 and 420.23 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 701.36 = 420.23 : x
  2. Step 2: Convert to fraction form
    509.12/701.36 = 420.23/x
  3. Step 3: Cross multiply
    509.12x = 701.36 × 420.23
  4. Step 4: Simplify right side
    509.12x = 294,729.01
  5. Step 5: Solve for x
    x = 294,729.01/509.12
  6. Step 6: Final answer
    x = 578.90

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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.