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Finding the Fourth Proportional to 713.90, 985.16 and 419.11

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Solution

The fourth proportional to 713.90, 985.16 and 419.11 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 985.16 = 419.11 : x
  2. Step 2: Convert to fraction form
    713.90/985.16 = 419.11/x
  3. Step 3: Cross multiply
    713.90x = 985.16 × 419.11
  4. Step 4: Simplify right side
    713.90x = 412,888.99
  5. Step 5: Solve for x
    x = 412,888.99/713.90
  6. Step 6: Final answer
    x = 578.35

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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.