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Finding the Fourth Proportional to 679.12, 1,017.32 and 313.40

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Solution

The fourth proportional to 679.12, 1,017.32 and 313.40 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.12 : 1,017.32 = 313.40 : x
  2. Step 2: Convert to fraction form
    679.12/1,017.32 = 313.40/x
  3. Step 3: Cross multiply
    679.12x = 1,017.32 × 313.40
  4. Step 4: Simplify right side
    679.12x = 318,828.09
  5. Step 5: Solve for x
    x = 318,828.09/679.12
  6. Step 6: Final answer
    x = 469.47

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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.