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Finding the Fourth Proportional to 561.52, 774.93 and 351.60

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Solution

The fourth proportional to 561.52, 774.93 and 351.60 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 774.93 = 351.60 : x
  2. Step 2: Convert to fraction form
    561.52/774.93 = 351.60/x
  3. Step 3: Cross multiply
    561.52x = 774.93 × 351.60
  4. Step 4: Simplify right side
    561.52x = 272,465.39
  5. Step 5: Solve for x
    x = 272,465.39/561.52
  6. Step 6: Final answer
    x = 485.23

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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.