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Finding the Fourth Proportional to 527.52, 728.01 and 294.65

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Solution

The fourth proportional to 527.52, 728.01 and 294.65 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 728.01 = 294.65 : x
  2. Step 2: Convert to fraction form
    527.52/728.01 = 294.65/x
  3. Step 3: Cross multiply
    527.52x = 728.01 × 294.65
  4. Step 4: Simplify right side
    527.52x = 214,504.51
  5. Step 5: Solve for x
    x = 214,504.51/527.52
  6. Step 6: Final answer
    x = 406.63

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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.