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Finding the Fourth Proportional to 561.46, 774.75 and 328.72

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Solution

The fourth proportional to 561.46, 774.75 and 328.72 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 774.75 = 328.72 : x
  2. Step 2: Convert to fraction form
    561.46/774.75 = 328.72/x
  3. Step 3: Cross multiply
    561.46x = 774.75 × 328.72
  4. Step 4: Simplify right side
    561.46x = 254,675.82
  5. Step 5: Solve for x
    x = 254,675.82/561.46
  6. Step 6: Final answer
    x = 453.60

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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.