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Finding the Fourth Proportional to 509.64, 703.38 and 335.34

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Solution

The fourth proportional to 509.64, 703.38 and 335.34 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 703.38 = 335.34 : x
  2. Step 2: Convert to fraction form
    509.64/703.38 = 335.34/x
  3. Step 3: Cross multiply
    509.64x = 703.38 × 335.34
  4. Step 4: Simplify right side
    509.64x = 235,871.45
  5. Step 5: Solve for x
    x = 235,871.45/509.64
  6. Step 6: Final answer
    x = 462.82

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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.