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Finding the Fourth Proportional to 714.16, 985.72 and 465.06

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Solution

The fourth proportional to 714.16, 985.72 and 465.06 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.16 : 985.72 = 465.06 : x
  2. Step 2: Convert to fraction form
    714.16/985.72 = 465.06/x
  3. Step 3: Cross multiply
    714.16x = 985.72 × 465.06
  4. Step 4: Simplify right side
    714.16x = 458,418.94
  5. Step 5: Solve for x
    x = 458,418.94/714.16
  6. Step 6: Final answer
    x = 641.90

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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.