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Finding the Fourth Proportional to 707.84, 1,062.42 and 361.41

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Solution

The fourth proportional to 707.84, 1,062.42 and 361.41 is: 542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.84 : 1,062.42 = 361.41 : x
  2. Step 2: Convert to fraction form
    707.84/1,062.42 = 361.41/x
  3. Step 3: Cross multiply
    707.84x = 1,062.42 × 361.41
  4. Step 4: Simplify right side
    707.84x = 383,969.21
  5. Step 5: Solve for x
    x = 383,969.21/707.84
  6. Step 6: Final answer
    x = 542.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.