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Finding the Fourth Proportional to 710.17, 980.04 and 415.38

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Solution

The fourth proportional to 710.17, 980.04 and 415.38 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.17 : 980.04 = 415.38 : x
  2. Step 2: Convert to fraction form
    710.17/980.04 = 415.38/x
  3. Step 3: Cross multiply
    710.17x = 980.04 × 415.38
  4. Step 4: Simplify right side
    710.17x = 407,082.04
  5. Step 5: Solve for x
    x = 407,082.04/710.17
  6. Step 6: Final answer
    x = 573.22

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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.