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Finding the Fourth Proportional to 504.76, 696.59 and 283.77

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Solution

The fourth proportional to 504.76, 696.59 and 283.77 is: 391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 696.59 = 283.77 : x
  2. Step 2: Convert to fraction form
    504.76/696.59 = 283.77/x
  3. Step 3: Cross multiply
    504.76x = 696.59 × 283.77
  4. Step 4: Simplify right side
    504.76x = 197,671.34
  5. Step 5: Solve for x
    x = 197,671.34/504.76
  6. Step 6: Final answer
    x = 391.61

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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.