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Finding the Fourth Proportional to 710.45, 980.69 and 415.81

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Solution

The fourth proportional to 710.45, 980.69 and 415.81 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.45 : 980.69 = 415.81 : x
  2. Step 2: Convert to fraction form
    710.45/980.69 = 415.81/x
  3. Step 3: Cross multiply
    710.45x = 980.69 × 415.81
  4. Step 4: Simplify right side
    710.45x = 407,780.71
  5. Step 5: Solve for x
    x = 407,780.71/710.45
  6. Step 6: Final answer
    x = 573.98

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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.