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Finding the Fourth Proportional to 504.32, 696.10 and 317.68

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Solution

The fourth proportional to 504.32, 696.10 and 317.68 is: 438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 696.10 = 317.68 : x
  2. Step 2: Convert to fraction form
    504.32/696.10 = 317.68/x
  3. Step 3: Cross multiply
    504.32x = 696.10 × 317.68
  4. Step 4: Simplify right side
    504.32x = 221,137.05
  5. Step 5: Solve for x
    x = 221,137.05/504.32
  6. Step 6: Final answer
    x = 438.49

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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.