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Finding the Fourth Proportional to 472.05, 651.02 and 402.32

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Solution

The fourth proportional to 472.05, 651.02 and 402.32 is: 554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 651.02 = 402.32 : x
  2. Step 2: Convert to fraction form
    472.05/651.02 = 402.32/x
  3. Step 3: Cross multiply
    472.05x = 651.02 × 402.32
  4. Step 4: Simplify right side
    472.05x = 261,913.10
  5. Step 5: Solve for x
    x = 261,913.10/472.05
  6. Step 6: Final answer
    x = 554.84

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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.