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Finding the Fourth Proportional to 504.69, 695.46 and 362.53

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Solution

The fourth proportional to 504.69, 695.46 and 362.53 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 695.46 = 362.53 : x
  2. Step 2: Convert to fraction form
    504.69/695.46 = 362.53/x
  3. Step 3: Cross multiply
    504.69x = 695.46 × 362.53
  4. Step 4: Simplify right side
    504.69x = 252,125.11
  5. Step 5: Solve for x
    x = 252,125.11/504.69
  6. Step 6: Final answer
    x = 499.56

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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.