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Finding the Fourth Proportional to 586.61, 879.64 and 343.21

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Solution

The fourth proportional to 586.61, 879.64 and 343.21 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.61 : 879.64 = 343.21 : x
  2. Step 2: Convert to fraction form
    586.61/879.64 = 343.21/x
  3. Step 3: Cross multiply
    586.61x = 879.64 × 343.21
  4. Step 4: Simplify right side
    586.61x = 301,901.24
  5. Step 5: Solve for x
    x = 301,901.24/586.61
  6. Step 6: Final answer
    x = 514.65

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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.