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Finding the Fourth Proportional to 513.12, 707.86 and 316.68

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Solution

The fourth proportional to 513.12, 707.86 and 316.68 is: 436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 707.86 = 316.68 : x
  2. Step 2: Convert to fraction form
    513.12/707.86 = 316.68/x
  3. Step 3: Cross multiply
    513.12x = 707.86 × 316.68
  4. Step 4: Simplify right side
    513.12x = 224,165.10
  5. Step 5: Solve for x
    x = 224,165.10/513.12
  6. Step 6: Final answer
    x = 436.87

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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.