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Finding the Fourth Proportional to 718.45, 990.54 and 465.93

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Solution

The fourth proportional to 718.45, 990.54 and 465.93 is: 642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.45 : 990.54 = 465.93 : x
  2. Step 2: Convert to fraction form
    718.45/990.54 = 465.93/x
  3. Step 3: Cross multiply
    718.45x = 990.54 × 465.93
  4. Step 4: Simplify right side
    718.45x = 461,522.30
  5. Step 5: Solve for x
    x = 461,522.30/718.45
  6. Step 6: Final answer
    x = 642.39

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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.