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Finding the Fourth Proportional to 472.02, 651.66 and 297.60

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Solution

The fourth proportional to 472.02, 651.66 and 297.60 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 651.66 = 297.60 : x
  2. Step 2: Convert to fraction form
    472.02/651.66 = 297.60/x
  3. Step 3: Cross multiply
    472.02x = 651.66 × 297.60
  4. Step 4: Simplify right side
    472.02x = 193,934.02
  5. Step 5: Solve for x
    x = 193,934.02/472.02
  6. Step 6: Final answer
    x = 410.86

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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.