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Finding the Fourth Proportional to 713.64, 984.67 and 434.04

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Solution

The fourth proportional to 713.64, 984.67 and 434.04 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 984.67 = 434.04 : x
  2. Step 2: Convert to fraction form
    713.64/984.67 = 434.04/x
  3. Step 3: Cross multiply
    713.64x = 984.67 × 434.04
  4. Step 4: Simplify right side
    713.64x = 427,386.17
  5. Step 5: Solve for x
    x = 427,386.17/713.64
  6. Step 6: Final answer
    x = 598.88

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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.