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Finding the Fourth Proportional to 659.10, 909.62 and 493.02

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Solution

The fourth proportional to 659.10, 909.62 and 493.02 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 909.62 = 493.02 : x
  2. Step 2: Convert to fraction form
    659.10/909.62 = 493.02/x
  3. Step 3: Cross multiply
    659.10x = 909.62 × 493.02
  4. Step 4: Simplify right side
    659.10x = 448,460.85
  5. Step 5: Solve for x
    x = 448,460.85/659.10
  6. Step 6: Final answer
    x = 680.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.