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Finding the Fourth Proportional to 560.78, 840.67 and 231.93

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Solution

The fourth proportional to 560.78, 840.67 and 231.93 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 840.67 = 231.93 : x
  2. Step 2: Convert to fraction form
    560.78/840.67 = 231.93/x
  3. Step 3: Cross multiply
    560.78x = 840.67 × 231.93
  4. Step 4: Simplify right side
    560.78x = 194,976.59
  5. Step 5: Solve for x
    x = 194,976.59/560.78
  6. Step 6: Final answer
    x = 347.69

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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.