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Finding the Fourth Proportional to 586.40, 879.75 and 239.76

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Solution

The fourth proportional to 586.40, 879.75 and 239.76 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 879.75 = 239.76 : x
  2. Step 2: Convert to fraction form
    586.40/879.75 = 239.76/x
  3. Step 3: Cross multiply
    586.40x = 879.75 × 239.76
  4. Step 4: Simplify right side
    586.40x = 210,928.86
  5. Step 5: Solve for x
    x = 210,928.86/586.40
  6. Step 6: Final answer
    x = 359.70

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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.