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Finding the Fourth Proportional to 561.35, 774.79 and 364.52

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Solution

The fourth proportional to 561.35, 774.79 and 364.52 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.35 : 774.79 = 364.52 : x
  2. Step 2: Convert to fraction form
    561.35/774.79 = 364.52/x
  3. Step 3: Cross multiply
    561.35x = 774.79 × 364.52
  4. Step 4: Simplify right side
    561.35x = 282,420.75
  5. Step 5: Solve for x
    x = 282,420.75/561.35
  6. Step 6: Final answer
    x = 503.11

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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.