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Finding the Fourth Proportional to 504.99, 696.96 and 283.95

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Solution

The fourth proportional to 504.99, 696.96 and 283.95 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.99 : 696.96 = 283.95 : x
  2. Step 2: Convert to fraction form
    504.99/696.96 = 283.95/x
  3. Step 3: Cross multiply
    504.99x = 696.96 × 283.95
  4. Step 4: Simplify right side
    504.99x = 197,901.79
  5. Step 5: Solve for x
    x = 197,901.79/504.99
  6. Step 6: Final answer
    x = 391.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.