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Finding the Fourth Proportional to 472.70, 653.02 and 469.04

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Solution

The fourth proportional to 472.70, 653.02 and 469.04 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 653.02 = 469.04 : x
  2. Step 2: Convert to fraction form
    472.70/653.02 = 469.04/x
  3. Step 3: Cross multiply
    472.70x = 653.02 × 469.04
  4. Step 4: Simplify right side
    472.70x = 306,292.50
  5. Step 5: Solve for x
    x = 306,292.50/472.70
  6. Step 6: Final answer
    x = 647.96

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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.