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Finding the Fourth Proportional to 527.64, 728.16 and 352.86

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Solution

The fourth proportional to 527.64, 728.16 and 352.86 is: 486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.64 : 728.16 = 352.86 : x
  2. Step 2: Convert to fraction form
    527.64/728.16 = 352.86/x
  3. Step 3: Cross multiply
    527.64x = 728.16 × 352.86
  4. Step 4: Simplify right side
    527.64x = 256,938.54
  5. Step 5: Solve for x
    x = 256,938.54/527.64
  6. Step 6: Final answer
    x = 486.96

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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.