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Finding the Fourth Proportional to 718.34, 990.83 and 456.71

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Solution

The fourth proportional to 718.34, 990.83 and 456.71 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.34 : 990.83 = 456.71 : x
  2. Step 2: Convert to fraction form
    718.34/990.83 = 456.71/x
  3. Step 3: Cross multiply
    718.34x = 990.83 × 456.71
  4. Step 4: Simplify right side
    718.34x = 452,518.16
  5. Step 5: Solve for x
    x = 452,518.16/718.34
  6. Step 6: Final answer
    x = 629.95

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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.