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Finding the Fourth Proportional to 410.40, 626.40 and 410.40

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Solution

The fourth proportional to 410.40, 626.40 and 410.40 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 626.40 = 410.40 : x
  2. Step 2: Convert to fraction form
    410.40/626.40 = 410.40/x
  3. Step 3: Cross multiply
    410.40x = 626.40 × 410.40
  4. Step 4: Simplify right side
    410.40x = 257,074.56
  5. Step 5: Solve for x
    x = 257,074.56/410.40
  6. Step 6: Final answer
    x = 626.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.