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Finding the Fourth Proportional to 505.42, 697.50 and 284.45

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Solution

The fourth proportional to 505.42, 697.50 and 284.45 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 697.50 = 284.45 : x
  2. Step 2: Convert to fraction form
    505.42/697.50 = 284.45/x
  3. Step 3: Cross multiply
    505.42x = 697.50 × 284.45
  4. Step 4: Simplify right side
    505.42x = 198,400.39
  5. Step 5: Solve for x
    x = 198,400.39/505.42
  6. Step 6: Final answer
    x = 392.55

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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.