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Finding the Fourth Proportional to 513.76, 708.70 and 317.14

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Solution

The fourth proportional to 513.76, 708.70 and 317.14 is: 437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 708.70 = 317.14 : x
  2. Step 2: Convert to fraction form
    513.76/708.70 = 317.14/x
  3. Step 3: Cross multiply
    513.76x = 708.70 × 317.14
  4. Step 4: Simplify right side
    513.76x = 224,751.99
  5. Step 5: Solve for x
    x = 224,751.99/513.76
  6. Step 6: Final answer
    x = 437.46

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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.