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Finding the Fourth Proportional to 472.48, 651.99 and 295.52

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Solution

The fourth proportional to 472.48, 651.99 and 295.52 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 651.99 = 295.52 : x
  2. Step 2: Convert to fraction form
    472.48/651.99 = 295.52/x
  3. Step 3: Cross multiply
    472.48x = 651.99 × 295.52
  4. Step 4: Simplify right side
    472.48x = 192,676.08
  5. Step 5: Solve for x
    x = 192,676.08/472.48
  6. Step 6: Final answer
    x = 407.80

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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.