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Finding the Fourth Proportional to 561.20, 774.26 and 364.64

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Solution

The fourth proportional to 561.20, 774.26 and 364.64 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.20 : 774.26 = 364.64 : x
  2. Step 2: Convert to fraction form
    561.20/774.26 = 364.64/x
  3. Step 3: Cross multiply
    561.20x = 774.26 × 364.64
  4. Step 4: Simplify right side
    561.20x = 282,326.17
  5. Step 5: Solve for x
    x = 282,326.17/561.20
  6. Step 6: Final answer
    x = 503.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.