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Finding the Fourth Proportional to 710.24, 980.58 and 489.44

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Solution

The fourth proportional to 710.24, 980.58 and 489.44 is: 675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 980.58 = 489.44 : x
  2. Step 2: Convert to fraction form
    710.24/980.58 = 489.44/x
  3. Step 3: Cross multiply
    710.24x = 980.58 × 489.44
  4. Step 4: Simplify right side
    710.24x = 479,935.08
  5. Step 5: Solve for x
    x = 479,935.08/710.24
  6. Step 6: Final answer
    x = 675.74

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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.