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Finding the Fourth Proportional to 714.07, 984.63 and 465.40

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Solution

The fourth proportional to 714.07, 984.63 and 465.40 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.07 : 984.63 = 465.40 : x
  2. Step 2: Convert to fraction form
    714.07/984.63 = 465.40/x
  3. Step 3: Cross multiply
    714.07x = 984.63 × 465.40
  4. Step 4: Simplify right side
    714.07x = 458,246.80
  5. Step 5: Solve for x
    x = 458,246.80/714.07
  6. Step 6: Final answer
    x = 641.74

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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.