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Finding the Fourth Proportional to 435.53, 597.54 and 398.81

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Solution

The fourth proportional to 435.53, 597.54 and 398.81 is: 547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.53 : 597.54 = 398.81 : x
  2. Step 2: Convert to fraction form
    435.53/597.54 = 398.81/x
  3. Step 3: Cross multiply
    435.53x = 597.54 × 398.81
  4. Step 4: Simplify right side
    435.53x = 238,301.94
  5. Step 5: Solve for x
    x = 238,301.94/435.53
  6. Step 6: Final answer
    x = 547.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.