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Finding the Fourth Proportional to 714.36, 985.93 and 434.68

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Solution

The fourth proportional to 714.36, 985.93 and 434.68 is: 599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.36 : 985.93 = 434.68 : x
  2. Step 2: Convert to fraction form
    714.36/985.93 = 434.68/x
  3. Step 3: Cross multiply
    714.36x = 985.93 × 434.68
  4. Step 4: Simplify right side
    714.36x = 428,564.05
  5. Step 5: Solve for x
    x = 428,564.05/714.36
  6. Step 6: Final answer
    x = 599.93

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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.