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Finding the Fourth Proportional to 417.40, 626.20 and 345.14

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Solution

The fourth proportional to 417.40, 626.20 and 345.14 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.40 : 626.20 = 345.14 : x
  2. Step 2: Convert to fraction form
    417.40/626.20 = 345.14/x
  3. Step 3: Cross multiply
    417.40x = 626.20 × 345.14
  4. Step 4: Simplify right side
    417.40x = 216,126.67
  5. Step 5: Solve for x
    x = 216,126.67/417.40
  6. Step 6: Final answer
    x = 517.79

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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.