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Finding the Fourth Proportional to 679.01, 1,017.17 and 313.30

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Solution

The fourth proportional to 679.01, 1,017.17 and 313.30 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.01 : 1,017.17 = 313.30 : x
  2. Step 2: Convert to fraction form
    679.01/1,017.17 = 313.30/x
  3. Step 3: Cross multiply
    679.01x = 1,017.17 × 313.30
  4. Step 4: Simplify right side
    679.01x = 318,672.71
  5. Step 5: Solve for x
    x = 318,672.71/679.01
  6. Step 6: Final answer
    x = 469.32

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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.