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Finding the Fourth Proportional to 710.14, 980.04 and 415.42

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Solution

The fourth proportional to 710.14, 980.04 and 415.42 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.14 : 980.04 = 415.42 : x
  2. Step 2: Convert to fraction form
    710.14/980.04 = 415.42/x
  3. Step 3: Cross multiply
    710.14x = 980.04 × 415.42
  4. Step 4: Simplify right side
    710.14x = 407,128.22
  5. Step 5: Solve for x
    x = 407,128.22/710.14
  6. Step 6: Final answer
    x = 573.31

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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.