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Finding the Fourth Proportional to 504.60, 695.64 and 431.68

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Solution

The fourth proportional to 504.60, 695.64 and 431.68 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.60 : 695.64 = 431.68 : x
  2. Step 2: Convert to fraction form
    504.60/695.64 = 431.68/x
  3. Step 3: Cross multiply
    504.60x = 695.64 × 431.68
  4. Step 4: Simplify right side
    504.60x = 300,293.88
  5. Step 5: Solve for x
    x = 300,293.88/504.60
  6. Step 6: Final answer
    x = 595.11

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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.