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Finding the Fourth Proportional to 586.32, 879.06 and 342.60

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Solution

The fourth proportional to 586.32, 879.06 and 342.60 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 879.06 = 342.60 : x
  2. Step 2: Convert to fraction form
    586.32/879.06 = 342.60/x
  3. Step 3: Cross multiply
    586.32x = 879.06 × 342.60
  4. Step 4: Simplify right side
    586.32x = 301,165.96
  5. Step 5: Solve for x
    x = 301,165.96/586.32
  6. Step 6: Final answer
    x = 513.65

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Why These Related Problems?

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