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Finding the Fourth Proportional to 561.07, 774.45 and 340.12

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Solution

The fourth proportional to 561.07, 774.45 and 340.12 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.07 : 774.45 = 340.12 : x
  2. Step 2: Convert to fraction form
    561.07/774.45 = 340.12/x
  3. Step 3: Cross multiply
    561.07x = 774.45 × 340.12
  4. Step 4: Simplify right side
    561.07x = 263,405.93
  5. Step 5: Solve for x
    x = 263,405.93/561.07
  6. Step 6: Final answer
    x = 469.47

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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.