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Finding the Fourth Proportional to 527.60, 727.93 and 306.51

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Solution

The fourth proportional to 527.60, 727.93 and 306.51 is: 422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.60 : 727.93 = 306.51 : x
  2. Step 2: Convert to fraction form
    527.60/727.93 = 306.51/x
  3. Step 3: Cross multiply
    527.60x = 727.93 × 306.51
  4. Step 4: Simplify right side
    527.60x = 223,115.24
  5. Step 5: Solve for x
    x = 223,115.24/527.60
  6. Step 6: Final answer
    x = 422.89

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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.