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Finding the Fourth Proportional to 504.43, 695.83 and 317.60

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Solution

The fourth proportional to 504.43, 695.83 and 317.60 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.43 : 695.83 = 317.60 : x
  2. Step 2: Convert to fraction form
    504.43/695.83 = 317.60/x
  3. Step 3: Cross multiply
    504.43x = 695.83 × 317.60
  4. Step 4: Simplify right side
    504.43x = 220,998.55
  5. Step 5: Solve for x
    x = 220,998.55/504.43
  6. Step 6: Final answer
    x = 438.11

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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.