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Finding the Fourth Proportional to 472.24, 705.17 and 385.74

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Solution

The fourth proportional to 472.24, 705.17 and 385.74 is: 576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 705.17 = 385.74 : x
  2. Step 2: Convert to fraction form
    472.24/705.17 = 385.74/x
  3. Step 3: Cross multiply
    472.24x = 705.17 × 385.74
  4. Step 4: Simplify right side
    472.24x = 272,013.24
  5. Step 5: Solve for x
    x = 272,013.24/472.24
  6. Step 6: Final answer
    x = 576.01

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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.