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Finding the Fourth Proportional to 527.69, 728.93 and 427.97

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Solution

The fourth proportional to 527.69, 728.93 and 427.97 is: 591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 728.93 = 427.97 : x
  2. Step 2: Convert to fraction form
    527.69/728.93 = 427.97/x
  3. Step 3: Cross multiply
    527.69x = 728.93 × 427.97
  4. Step 4: Simplify right side
    527.69x = 311,963.06
  5. Step 5: Solve for x
    x = 311,963.06/527.69
  6. Step 6: Final answer
    x = 591.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.