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Finding the Fourth Proportional to 513.51, 708.78 and 316.95

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Solution

The fourth proportional to 513.51, 708.78 and 316.95 is: 437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 708.78 = 316.95 : x
  2. Step 2: Convert to fraction form
    513.51/708.78 = 316.95/x
  3. Step 3: Cross multiply
    513.51x = 708.78 × 316.95
  4. Step 4: Simplify right side
    513.51x = 224,647.82
  5. Step 5: Solve for x
    x = 224,647.82/513.51
  6. Step 6: Final answer
    x = 437.48

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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.