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Finding the Fourth Proportional to 505.22, 697.14 and 284.14

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Solution

The fourth proportional to 505.22, 697.14 and 284.14 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 697.14 = 284.14 : x
  2. Step 2: Convert to fraction form
    505.22/697.14 = 284.14/x
  3. Step 3: Cross multiply
    505.22x = 697.14 × 284.14
  4. Step 4: Simplify right side
    505.22x = 198,085.36
  5. Step 5: Solve for x
    x = 198,085.36/505.22
  6. Step 6: Final answer
    x = 392.08

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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.