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Finding the Fourth Proportional to 603.44, 832.68 and 446.16

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Solution

The fourth proportional to 603.44, 832.68 and 446.16 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.44 : 832.68 = 446.16 : x
  2. Step 2: Convert to fraction form
    603.44/832.68 = 446.16/x
  3. Step 3: Cross multiply
    603.44x = 832.68 × 446.16
  4. Step 4: Simplify right side
    603.44x = 371,508.51
  5. Step 5: Solve for x
    x = 371,508.51/603.44
  6. Step 6: Final answer
    x = 615.65

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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.