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Finding the Fourth Proportional to 504.88, 696.71 and 339.07

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Solution

The fourth proportional to 504.88, 696.71 and 339.07 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 696.71 = 339.07 : x
  2. Step 2: Convert to fraction form
    504.88/696.71 = 339.07/x
  3. Step 3: Cross multiply
    504.88x = 696.71 × 339.07
  4. Step 4: Simplify right side
    504.88x = 236,230.02
  5. Step 5: Solve for x
    x = 236,230.02/504.88
  6. Step 6: Final answer
    x = 467.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.