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Finding the Fourth Proportional to 527.94, 727.65 and 352.98

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Solution

The fourth proportional to 527.94, 727.65 and 352.98 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 727.65 = 352.98 : x
  2. Step 2: Convert to fraction form
    527.94/727.65 = 352.98/x
  3. Step 3: Cross multiply
    527.94x = 727.65 × 352.98
  4. Step 4: Simplify right side
    527.94x = 256,845.90
  5. Step 5: Solve for x
    x = 256,845.90/527.94
  6. Step 6: Final answer
    x = 486.51

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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.