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Finding the Fourth Proportional to 527.13, 727.50 and 294.30

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Solution

The fourth proportional to 527.13, 727.50 and 294.30 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 727.50 = 294.30 : x
  2. Step 2: Convert to fraction form
    527.13/727.50 = 294.30/x
  3. Step 3: Cross multiply
    527.13x = 727.50 × 294.30
  4. Step 4: Simplify right side
    527.13x = 214,103.25
  5. Step 5: Solve for x
    x = 214,103.25/527.13
  6. Step 6: Final answer
    x = 406.17

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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.