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Finding the Fourth Proportional to 561.15, 774.43 and 340.10

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Solution

The fourth proportional to 561.15, 774.43 and 340.10 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.15 : 774.43 = 340.10 : x
  2. Step 2: Convert to fraction form
    561.15/774.43 = 340.10/x
  3. Step 3: Cross multiply
    561.15x = 774.43 × 340.10
  4. Step 4: Simplify right side
    561.15x = 263,381.82
  5. Step 5: Solve for x
    x = 263,381.82/561.15
  6. Step 6: Final answer
    x = 469.36

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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.