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Finding the Fourth Proportional to 710.46, 980.31 and 415.77

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Solution

The fourth proportional to 710.46, 980.31 and 415.77 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.46 : 980.31 = 415.77 : x
  2. Step 2: Convert to fraction form
    710.46/980.31 = 415.77/x
  3. Step 3: Cross multiply
    710.46x = 980.31 × 415.77
  4. Step 4: Simplify right side
    710.46x = 407,583.49
  5. Step 5: Solve for x
    x = 407,583.49/710.46
  6. Step 6: Final answer
    x = 573.69

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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.