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Finding the Fourth Proportional to 527.84, 728.51 and 328.79

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Solution

The fourth proportional to 527.84, 728.51 and 328.79 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 728.51 = 328.79 : x
  2. Step 2: Convert to fraction form
    527.84/728.51 = 328.79/x
  3. Step 3: Cross multiply
    527.84x = 728.51 × 328.79
  4. Step 4: Simplify right side
    527.84x = 239,525.91
  5. Step 5: Solve for x
    x = 239,525.91/527.84
  6. Step 6: Final answer
    x = 453.78

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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.