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Finding the Fourth Proportional to 528.55, 728.71 and 362.48

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Solution

The fourth proportional to 528.55, 728.71 and 362.48 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.55 : 728.71 = 362.48 : x
  2. Step 2: Convert to fraction form
    528.55/728.71 = 362.48/x
  3. Step 3: Cross multiply
    528.55x = 728.71 × 362.48
  4. Step 4: Simplify right side
    528.55x = 264,138.25
  5. Step 5: Solve for x
    x = 264,138.25/528.55
  6. Step 6: Final answer
    x = 499.74

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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.