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Finding the Fourth Proportional to 561.24, 840.73 and 269.02

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Solution

The fourth proportional to 561.24, 840.73 and 269.02 is: 402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 840.73 = 269.02 : x
  2. Step 2: Convert to fraction form
    561.24/840.73 = 269.02/x
  3. Step 3: Cross multiply
    561.24x = 840.73 × 269.02
  4. Step 4: Simplify right side
    561.24x = 226,173.18
  5. Step 5: Solve for x
    x = 226,173.18/561.24
  6. Step 6: Final answer
    x = 402.99

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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.