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Finding the Fourth Proportional to 410.12, 613.20 and 400.40

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Solution

The fourth proportional to 410.12, 613.20 and 400.40 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 613.20 = 400.40 : x
  2. Step 2: Convert to fraction form
    410.12/613.20 = 400.40/x
  3. Step 3: Cross multiply
    410.12x = 613.20 × 400.40
  4. Step 4: Simplify right side
    410.12x = 245,525.28
  5. Step 5: Solve for x
    x = 245,525.28/410.12
  6. Step 6: Final answer
    x = 598.67

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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.