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Finding the Fourth Proportional to 710.95, 980.84 and 431.08

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Solution

The fourth proportional to 710.95, 980.84 and 431.08 is: 594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.95 : 980.84 = 431.08 : x
  2. Step 2: Convert to fraction form
    710.95/980.84 = 431.08/x
  3. Step 3: Cross multiply
    710.95x = 980.84 × 431.08
  4. Step 4: Simplify right side
    710.95x = 422,820.51
  5. Step 5: Solve for x
    x = 422,820.51/710.95
  6. Step 6: Final answer
    x = 594.73

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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.