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Finding the Fourth Proportional to 713.84, 985.02 and 419.05

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Solution

The fourth proportional to 713.84, 985.02 and 419.05 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 985.02 = 419.05 : x
  2. Step 2: Convert to fraction form
    713.84/985.02 = 419.05/x
  3. Step 3: Cross multiply
    713.84x = 985.02 × 419.05
  4. Step 4: Simplify right side
    713.84x = 412,767.71
  5. Step 5: Solve for x
    x = 412,767.71/713.84
  6. Step 6: Final answer
    x = 578.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.