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Finding the Fourth Proportional to 561.08, 774.36 and 364.64

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Solution

The fourth proportional to 561.08, 774.36 and 364.64 is: 503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.08 : 774.36 = 364.64 : x
  2. Step 2: Convert to fraction form
    561.08/774.36 = 364.64/x
  3. Step 3: Cross multiply
    561.08x = 774.36 × 364.64
  4. Step 4: Simplify right side
    561.08x = 282,362.63
  5. Step 5: Solve for x
    x = 282,362.63/561.08
  6. Step 6: Final answer
    x = 503.25

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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.