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Finding the Fourth Proportional to 603.90, 830.88 and 472.68

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Solution

The fourth proportional to 603.90, 830.88 and 472.68 is: 650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.90 : 830.88 = 472.68 : x
  2. Step 2: Convert to fraction form
    603.90/830.88 = 472.68/x
  3. Step 3: Cross multiply
    603.90x = 830.88 × 472.68
  4. Step 4: Simplify right side
    603.90x = 392,740.36
  5. Step 5: Solve for x
    x = 392,740.36/603.90
  6. Step 6: Final answer
    x = 650.34

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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.