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Finding the Fourth Proportional to 573.95, 861.06 and 409.00

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Solution

The fourth proportional to 573.95, 861.06 and 409.00 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 861.06 = 409.00 : x
  2. Step 2: Convert to fraction form
    573.95/861.06 = 409.00/x
  3. Step 3: Cross multiply
    573.95x = 861.06 × 409.00
  4. Step 4: Simplify right side
    573.95x = 352,172.23
  5. Step 5: Solve for x
    x = 352,172.23/573.95
  6. Step 6: Final answer
    x = 613.60

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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.