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Finding the Fourth Proportional to 561.30, 774.95 and 362.23

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Solution

The fourth proportional to 561.30, 774.95 and 362.23 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 774.95 = 362.23 : x
  2. Step 2: Convert to fraction form
    561.30/774.95 = 362.23/x
  3. Step 3: Cross multiply
    561.30x = 774.95 × 362.23
  4. Step 4: Simplify right side
    561.30x = 280,710.14
  5. Step 5: Solve for x
    x = 280,710.14/561.30
  6. Step 6: Final answer
    x = 500.11

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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.