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Finding the Fourth Proportional to 710.50, 980.17 and 415.64

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Solution

The fourth proportional to 710.50, 980.17 and 415.64 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.50 : 980.17 = 415.64 : x
  2. Step 2: Convert to fraction form
    710.50/980.17 = 415.64/x
  3. Step 3: Cross multiply
    710.50x = 980.17 × 415.64
  4. Step 4: Simplify right side
    710.50x = 407,394.37
  5. Step 5: Solve for x
    x = 407,394.37/710.50
  6. Step 6: Final answer
    x = 573.39

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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.