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Finding the Fourth Proportional to 505.53, 697.65 and 284.46

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Solution

The fourth proportional to 505.53, 697.65 and 284.46 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 697.65 = 284.46 : x
  2. Step 2: Convert to fraction form
    505.53/697.65 = 284.46/x
  3. Step 3: Cross multiply
    505.53x = 697.65 × 284.46
  4. Step 4: Simplify right side
    505.53x = 198,453.52
  5. Step 5: Solve for x
    x = 198,453.52/505.53
  6. Step 6: Final answer
    x = 392.57

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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.