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Finding the Fourth Proportional to 561.12, 774.24 and 364.68

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Solution

The fourth proportional to 561.12, 774.24 and 364.68 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 774.24 = 364.68 : x
  2. Step 2: Convert to fraction form
    561.12/774.24 = 364.68/x
  3. Step 3: Cross multiply
    561.12x = 774.24 × 364.68
  4. Step 4: Simplify right side
    561.12x = 282,349.84
  5. Step 5: Solve for x
    x = 282,349.84/561.12
  6. Step 6: Final answer
    x = 503.19

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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.