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Finding the Fourth Proportional to 632.96, 949.44 and 470.40

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Solution

The fourth proportional to 632.96, 949.44 and 470.40 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.96 : 949.44 = 470.40 : x
  2. Step 2: Convert to fraction form
    632.96/949.44 = 470.40/x
  3. Step 3: Cross multiply
    632.96x = 949.44 × 470.40
  4. Step 4: Simplify right side
    632.96x = 446,616.58
  5. Step 5: Solve for x
    x = 446,616.58/632.96
  6. Step 6: Final answer
    x = 705.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.