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Finding the Fourth Proportional to 620.02, 855.06 and 410.13

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Solution

The fourth proportional to 620.02, 855.06 and 410.13 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.02 : 855.06 = 410.13 : x
  2. Step 2: Convert to fraction form
    620.02/855.06 = 410.13/x
  3. Step 3: Cross multiply
    620.02x = 855.06 × 410.13
  4. Step 4: Simplify right side
    620.02x = 350,684.22
  5. Step 5: Solve for x
    x = 350,684.22/620.02
  6. Step 6: Final answer
    x = 565.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.