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Finding the Fourth Proportional to 504.23, 695.87 and 283.19

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Solution

The fourth proportional to 504.23, 695.87 and 283.19 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 695.87 = 283.19 : x
  2. Step 2: Convert to fraction form
    504.23/695.87 = 283.19/x
  3. Step 3: Cross multiply
    504.23x = 695.87 × 283.19
  4. Step 4: Simplify right side
    504.23x = 197,062.01
  5. Step 5: Solve for x
    x = 197,062.01/504.23
  6. Step 6: Final answer
    x = 390.82

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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.