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Finding the Fourth Proportional to 505.06, 696.98 and 284.00

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Solution

The fourth proportional to 505.06, 696.98 and 284.00 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 696.98 = 284.00 : x
  2. Step 2: Convert to fraction form
    505.06/696.98 = 284.00/x
  3. Step 3: Cross multiply
    505.06x = 696.98 × 284.00
  4. Step 4: Simplify right side
    505.06x = 197,939.55
  5. Step 5: Solve for x
    x = 197,939.55/505.06
  6. Step 6: Final answer
    x = 391.91

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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.