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Finding the Fourth Proportional to 710.30, 980.66 and 458.66

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Solution

The fourth proportional to 710.30, 980.66 and 458.66 is: 633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.30 : 980.66 = 458.66 : x
  2. Step 2: Convert to fraction form
    710.30/980.66 = 458.66/x
  3. Step 3: Cross multiply
    710.30x = 980.66 × 458.66
  4. Step 4: Simplify right side
    710.30x = 449,793.11
  5. Step 5: Solve for x
    x = 449,793.11/710.30
  6. Step 6: Final answer
    x = 633.24

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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.