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Finding the Fourth Proportional to 558.69, 836.66 and 460.59

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Solution

The fourth proportional to 558.69, 836.66 and 460.59 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.69 : 836.66 = 460.59 : x
  2. Step 2: Convert to fraction form
    558.69/836.66 = 460.59/x
  3. Step 3: Cross multiply
    558.69x = 836.66 × 460.59
  4. Step 4: Simplify right side
    558.69x = 385,358.38
  5. Step 5: Solve for x
    x = 385,358.38/558.69
  6. Step 6: Final answer
    x = 689.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.