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Finding the Fourth Proportional to 561.41, 774.87 and 364.58

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Solution

The fourth proportional to 561.41, 774.87 and 364.58 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.41 : 774.87 = 364.58 : x
  2. Step 2: Convert to fraction form
    561.41/774.87 = 364.58/x
  3. Step 3: Cross multiply
    561.41x = 774.87 × 364.58
  4. Step 4: Simplify right side
    561.41x = 282,501.14
  5. Step 5: Solve for x
    x = 282,501.14/561.41
  6. Step 6: Final answer
    x = 503.20

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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.