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Finding the Fourth Proportional to 513.42, 709.13 and 347.35

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Solution

The fourth proportional to 513.42, 709.13 and 347.35 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 709.13 = 347.35 : x
  2. Step 2: Convert to fraction form
    513.42/709.13 = 347.35/x
  3. Step 3: Cross multiply
    513.42x = 709.13 × 347.35
  4. Step 4: Simplify right side
    513.42x = 246,313.76
  5. Step 5: Solve for x
    x = 246,313.76/513.42
  6. Step 6: Final answer
    x = 479.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.