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Finding the Fourth Proportional to 472.11, 704.16 and 410.76

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Solution

The fourth proportional to 472.11, 704.16 and 410.76 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.11 : 704.16 = 410.76 : x
  2. Step 2: Convert to fraction form
    472.11/704.16 = 410.76/x
  3. Step 3: Cross multiply
    472.11x = 704.16 × 410.76
  4. Step 4: Simplify right side
    472.11x = 289,240.76
  5. Step 5: Solve for x
    x = 289,240.76/472.11
  6. Step 6: Final answer
    x = 612.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.