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Finding the Fourth Proportional to 504.77, 696.62 and 283.79

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Solution

The fourth proportional to 504.77, 696.62 and 283.79 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 696.62 = 283.79 : x
  2. Step 2: Convert to fraction form
    504.77/696.62 = 283.79/x
  3. Step 3: Cross multiply
    504.77x = 696.62 × 283.79
  4. Step 4: Simplify right side
    504.77x = 197,696.24
  5. Step 5: Solve for x
    x = 197,696.24/504.77
  6. Step 6: Final answer
    x = 391.66

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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.