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Finding the Fourth Proportional to 663.16, 916.32 and 533.20

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Solution

The fourth proportional to 663.16, 916.32 and 533.20 is: 736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 916.32 = 533.20 : x
  2. Step 2: Convert to fraction form
    663.16/916.32 = 533.20/x
  3. Step 3: Cross multiply
    663.16x = 916.32 × 533.20
  4. Step 4: Simplify right side
    663.16x = 488,581.82
  5. Step 5: Solve for x
    x = 488,581.82/663.16
  6. Step 6: Final answer
    x = 736.75

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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.