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Finding the Fourth Proportional to 527.56, 728.10 and 320.44

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Solution

The fourth proportional to 527.56, 728.10 and 320.44 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 728.10 = 320.44 : x
  2. Step 2: Convert to fraction form
    527.56/728.10 = 320.44/x
  3. Step 3: Cross multiply
    527.56x = 728.10 × 320.44
  4. Step 4: Simplify right side
    527.56x = 233,312.36
  5. Step 5: Solve for x
    x = 233,312.36/527.56
  6. Step 6: Final answer
    x = 442.25

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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.