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Finding the Fourth Proportional to 560.06, 772.83 and 311.36

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Solution

The fourth proportional to 560.06, 772.83 and 311.36 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 772.83 = 311.36 : x
  2. Step 2: Convert to fraction form
    560.06/772.83 = 311.36/x
  3. Step 3: Cross multiply
    560.06x = 772.83 × 311.36
  4. Step 4: Simplify right side
    560.06x = 240,623.90
  5. Step 5: Solve for x
    x = 240,623.90/560.06
  6. Step 6: Final answer
    x = 429.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.