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Finding the Fourth Proportional to 633.48, 951.90 and 470.64

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Solution

The fourth proportional to 633.48, 951.90 and 470.64 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 951.90 = 470.64 : x
  2. Step 2: Convert to fraction form
    633.48/951.90 = 470.64/x
  3. Step 3: Cross multiply
    633.48x = 951.90 × 470.64
  4. Step 4: Simplify right side
    633.48x = 448,002.22
  5. Step 5: Solve for x
    x = 448,002.22/633.48
  6. Step 6: Final answer
    x = 707.21

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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.