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Finding the Fourth Proportional to 504.07, 695.27 and 304.84

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Solution

The fourth proportional to 504.07, 695.27 and 304.84 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 695.27 = 304.84 : x
  2. Step 2: Convert to fraction form
    504.07/695.27 = 304.84/x
  3. Step 3: Cross multiply
    504.07x = 695.27 × 304.84
  4. Step 4: Simplify right side
    504.07x = 211,945.13
  5. Step 5: Solve for x
    x = 211,945.13/504.07
  6. Step 6: Final answer
    x = 420.47

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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.