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Finding the Fourth Proportional to 336.10, 504.47 and 317.61

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Solution

The fourth proportional to 336.10, 504.47 and 317.61 is: 476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 504.47 = 317.61 : x
  2. Step 2: Convert to fraction form
    336.10/504.47 = 317.61/x
  3. Step 3: Cross multiply
    336.10x = 504.47 × 317.61
  4. Step 4: Simplify right side
    336.10x = 160,222.19
  5. Step 5: Solve for x
    x = 160,222.19/336.10
  6. Step 6: Final answer
    x = 476.71

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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.