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Finding the Fourth Proportional to 610.40, 913.80 and 574.80

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Solution

The fourth proportional to 610.40, 913.80 and 574.80 is: 860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.40 : 913.80 = 574.80 : x
  2. Step 2: Convert to fraction form
    610.40/913.80 = 574.80/x
  3. Step 3: Cross multiply
    610.40x = 913.80 × 574.80
  4. Step 4: Simplify right side
    610.40x = 525,252.24
  5. Step 5: Solve for x
    x = 525,252.24/610.40
  6. Step 6: Final answer
    x = 860.50

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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.