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Finding the Fourth Proportional to 591.37, 820.31 and 560.23

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Solution

The fourth proportional to 591.37, 820.31 and 560.23 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.37 : 820.31 = 560.23 : x
  2. Step 2: Convert to fraction form
    591.37/820.31 = 560.23/x
  3. Step 3: Cross multiply
    591.37x = 820.31 × 560.23
  4. Step 4: Simplify right side
    591.37x = 459,557.42
  5. Step 5: Solve for x
    x = 459,557.42/591.37
  6. Step 6: Final answer
    x = 777.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.