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Finding the Fourth Proportional to 714.04, 985.32 and 419.26

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Solution

The fourth proportional to 714.04, 985.32 and 419.26 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.04 : 985.32 = 419.26 : x
  2. Step 2: Convert to fraction form
    714.04/985.32 = 419.26/x
  3. Step 3: Cross multiply
    714.04x = 985.32 × 419.26
  4. Step 4: Simplify right side
    714.04x = 413,105.26
  5. Step 5: Solve for x
    x = 413,105.26/714.04
  6. Step 6: Final answer
    x = 578.55

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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.