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Finding the Fourth Proportional to 513, 708.06 and 316.62

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Solution

The fourth proportional to 513, 708.06 and 316.62 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 708.06 = 316.62 : x
  2. Step 2: Convert to fraction form
    513/708.06 = 316.62/x
  3. Step 3: Cross multiply
    513x = 708.06 × 316.62
  4. Step 4: Simplify right side
    513x = 224,185.96
  5. Step 5: Solve for x
    x = 224,185.96/513
  6. Step 6: Final answer
    x = 437.01

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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.