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Finding the Fourth Proportional to 561.93, 775.43 and 313.26

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Solution

The fourth proportional to 561.93, 775.43 and 313.26 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 775.43 = 313.26 : x
  2. Step 2: Convert to fraction form
    561.93/775.43 = 313.26/x
  3. Step 3: Cross multiply
    561.93x = 775.43 × 313.26
  4. Step 4: Simplify right side
    561.93x = 242,911.57
  5. Step 5: Solve for x
    x = 242,911.57/561.93
  6. Step 6: Final answer
    x = 432.28

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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.