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Finding the Fourth Proportional to 717.45, 989.16 and 464.93

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Solution

The fourth proportional to 717.45, 989.16 and 464.93 is: 641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.45 : 989.16 = 464.93 : x
  2. Step 2: Convert to fraction form
    717.45/989.16 = 464.93/x
  3. Step 3: Cross multiply
    717.45x = 989.16 × 464.93
  4. Step 4: Simplify right side
    717.45x = 459,890.16
  5. Step 5: Solve for x
    x = 459,890.16/717.45
  6. Step 6: Final answer
    x = 641.01

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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.