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Finding the Fourth Proportional to 734.30, 1,013.15 and 439.50

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Solution

The fourth proportional to 734.30, 1,013.15 and 439.50 is: 606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.30 : 1,013.15 = 439.50 : x
  2. Step 2: Convert to fraction form
    734.30/1,013.15 = 439.50/x
  3. Step 3: Cross multiply
    734.30x = 1,013.15 × 439.50
  4. Step 4: Simplify right side
    734.30x = 445,277.23
  5. Step 5: Solve for x
    x = 445,277.23/734.30
  6. Step 6: Final answer
    x = 606.40

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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.