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Finding the Fourth Proportional to 663.02, 914.76 and 383.16

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Solution

The fourth proportional to 663.02, 914.76 and 383.16 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 914.76 = 383.16 : x
  2. Step 2: Convert to fraction form
    663.02/914.76 = 383.16/x
  3. Step 3: Cross multiply
    663.02x = 914.76 × 383.16
  4. Step 4: Simplify right side
    663.02x = 350,499.44
  5. Step 5: Solve for x
    x = 350,499.44/663.02
  6. Step 6: Final answer
    x = 528.64

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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.