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Finding the Fourth Proportional to 504.56, 696.76 and 339.16

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Solution

The fourth proportional to 504.56, 696.76 and 339.16 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 696.76 = 339.16 : x
  2. Step 2: Convert to fraction form
    504.56/696.76 = 339.16/x
  3. Step 3: Cross multiply
    504.56x = 696.76 × 339.16
  4. Step 4: Simplify right side
    504.56x = 236,313.12
  5. Step 5: Solve for x
    x = 236,313.12/504.56
  6. Step 6: Final answer
    x = 468.35

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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.