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Finding the Fourth Proportional to 561.64, 775.06 and 328.76

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Solution

The fourth proportional to 561.64, 775.06 and 328.76 is: 453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 775.06 = 328.76 : x
  2. Step 2: Convert to fraction form
    561.64/775.06 = 328.76/x
  3. Step 3: Cross multiply
    561.64x = 775.06 × 328.76
  4. Step 4: Simplify right side
    561.64x = 254,808.73
  5. Step 5: Solve for x
    x = 254,808.73/561.64
  6. Step 6: Final answer
    x = 453.69

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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.