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Finding the Fourth Proportional to 561.13, 774.31 and 340.05

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Solution

The fourth proportional to 561.13, 774.31 and 340.05 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.13 : 774.31 = 340.05 : x
  2. Step 2: Convert to fraction form
    561.13/774.31 = 340.05/x
  3. Step 3: Cross multiply
    561.13x = 774.31 × 340.05
  4. Step 4: Simplify right side
    561.13x = 263,302.45
  5. Step 5: Solve for x
    x = 263,302.45/561.13
  6. Step 6: Final answer
    x = 469.24

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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.