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Finding the Fourth Proportional to 586.17, 879.32 and 342.70

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Solution

The fourth proportional to 586.17, 879.32 and 342.70 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.17 : 879.32 = 342.70 : x
  2. Step 2: Convert to fraction form
    586.17/879.32 = 342.70/x
  3. Step 3: Cross multiply
    586.17x = 879.32 × 342.70
  4. Step 4: Simplify right side
    586.17x = 301,341.62
  5. Step 5: Solve for x
    x = 301,341.62/586.17
  6. Step 6: Final answer
    x = 514.09

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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.