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Finding the Fourth Proportional to 513.53, 708.71 and 292.50

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Solution

The fourth proportional to 513.53, 708.71 and 292.50 is: 403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 708.71 = 292.50 : x
  2. Step 2: Convert to fraction form
    513.53/708.71 = 292.50/x
  3. Step 3: Cross multiply
    513.53x = 708.71 × 292.50
  4. Step 4: Simplify right side
    513.53x = 207,297.68
  5. Step 5: Solve for x
    x = 207,297.68/513.53
  6. Step 6: Final answer
    x = 403.67

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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.