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Finding the Fourth Proportional to 472.37, 707.83 and 317.72

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Solution

The fourth proportional to 472.37, 707.83 and 317.72 is: 476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.37 : 707.83 = 317.72 : x
  2. Step 2: Convert to fraction form
    472.37/707.83 = 317.72/x
  3. Step 3: Cross multiply
    472.37x = 707.83 × 317.72
  4. Step 4: Simplify right side
    472.37x = 224,893.91
  5. Step 5: Solve for x
    x = 224,893.91/472.37
  6. Step 6: Final answer
    x = 476.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.