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Finding the Fourth Proportional to 460.29, 689.76 and 244.02

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Solution

The fourth proportional to 460.29, 689.76 and 244.02 is: 365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 689.76 = 244.02 : x
  2. Step 2: Convert to fraction form
    460.29/689.76 = 244.02/x
  3. Step 3: Cross multiply
    460.29x = 689.76 × 244.02
  4. Step 4: Simplify right side
    460.29x = 168,315.24
  5. Step 5: Solve for x
    x = 168,315.24/460.29
  6. Step 6: Final answer
    x = 365.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.