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Finding the Fourth Proportional to 472.63, 651.31 and 354.74

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Solution

The fourth proportional to 472.63, 651.31 and 354.74 is: 488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.63 : 651.31 = 354.74 : x
  2. Step 2: Convert to fraction form
    472.63/651.31 = 354.74/x
  3. Step 3: Cross multiply
    472.63x = 651.31 × 354.74
  4. Step 4: Simplify right side
    472.63x = 231,041.65
  5. Step 5: Solve for x
    x = 231,041.65/472.63
  6. Step 6: Final answer
    x = 488.84

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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.