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Finding the Fourth Proportional to 504.22, 695.85 and 283.15

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Solution

The fourth proportional to 504.22, 695.85 and 283.15 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.22 : 695.85 = 283.15 : x
  2. Step 2: Convert to fraction form
    504.22/695.85 = 283.15/x
  3. Step 3: Cross multiply
    504.22x = 695.85 × 283.15
  4. Step 4: Simplify right side
    504.22x = 197,029.93
  5. Step 5: Solve for x
    x = 197,029.93/504.22
  6. Step 6: Final answer
    x = 390.76

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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.