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Finding the Fourth Proportional to 529.81, 730.41 and 513.67

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Solution

The fourth proportional to 529.81, 730.41 and 513.67 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.81 : 730.41 = 513.67 : x
  2. Step 2: Convert to fraction form
    529.81/730.41 = 513.67/x
  3. Step 3: Cross multiply
    529.81x = 730.41 × 513.67
  4. Step 4: Simplify right side
    529.81x = 375,189.70
  5. Step 5: Solve for x
    x = 375,189.70/529.81
  6. Step 6: Final answer
    x = 708.16

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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.