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Finding the Fourth Proportional to 528.48, 728.54 and 362.42

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Solution

The fourth proportional to 528.48, 728.54 and 362.42 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 728.54 = 362.42 : x
  2. Step 2: Convert to fraction form
    528.48/728.54 = 362.42/x
  3. Step 3: Cross multiply
    528.48x = 728.54 × 362.42
  4. Step 4: Simplify right side
    528.48x = 264,037.47
  5. Step 5: Solve for x
    x = 264,037.47/528.48
  6. Step 6: Final answer
    x = 499.62

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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.