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Finding the Fourth Proportional to 710.52, 980.35 and 415.83

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Solution

The fourth proportional to 710.52, 980.35 and 415.83 is: 573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.52 : 980.35 = 415.83 : x
  2. Step 2: Convert to fraction form
    710.52/980.35 = 415.83/x
  3. Step 3: Cross multiply
    710.52x = 980.35 × 415.83
  4. Step 4: Simplify right side
    710.52x = 407,663.92
  5. Step 5: Solve for x
    x = 407,663.92/710.52
  6. Step 6: Final answer
    x = 573.75

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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.