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Finding the Fourth Proportional to 509.08, 701.40 and 334.12

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Solution

The fourth proportional to 509.08, 701.40 and 334.12 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 701.40 = 334.12 : x
  2. Step 2: Convert to fraction form
    509.08/701.40 = 334.12/x
  3. Step 3: Cross multiply
    509.08x = 701.40 × 334.12
  4. Step 4: Simplify right side
    509.08x = 234,351.77
  5. Step 5: Solve for x
    x = 234,351.77/509.08
  6. Step 6: Final answer
    x = 460.34

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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.