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Finding the Fourth Proportional to 504.63, 696.29 and 283.50

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Solution

The fourth proportional to 504.63, 696.29 and 283.50 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 696.29 = 283.50 : x
  2. Step 2: Convert to fraction form
    504.63/696.29 = 283.50/x
  3. Step 3: Cross multiply
    504.63x = 696.29 × 283.50
  4. Step 4: Simplify right side
    504.63x = 197,396.80
  5. Step 5: Solve for x
    x = 197,396.80/504.63
  6. Step 6: Final answer
    x = 391.17

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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.