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Finding the Fourth Proportional to 472.48, 651.56 and 420.16

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Solution

The fourth proportional to 472.48, 651.56 and 420.16 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 651.56 = 420.16 : x
  2. Step 2: Convert to fraction form
    472.48/651.56 = 420.16/x
  3. Step 3: Cross multiply
    472.48x = 651.56 × 420.16
  4. Step 4: Simplify right side
    472.48x = 273,759.45
  5. Step 5: Solve for x
    x = 273,759.45/472.48
  6. Step 6: Final answer
    x = 579.41

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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.