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Finding the Fourth Proportional to 504.15, 696.06 and 317.70

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Solution

The fourth proportional to 504.15, 696.06 and 317.70 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 696.06 = 317.70 : x
  2. Step 2: Convert to fraction form
    504.15/696.06 = 317.70/x
  3. Step 3: Cross multiply
    504.15x = 696.06 × 317.70
  4. Step 4: Simplify right side
    504.15x = 221,138.26
  5. Step 5: Solve for x
    x = 221,138.26/504.15
  6. Step 6: Final answer
    x = 438.64

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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.