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Finding the Fourth Proportional to 505.09, 697.06 and 284.05

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Solution

The fourth proportional to 505.09, 697.06 and 284.05 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.09 : 697.06 = 284.05 : x
  2. Step 2: Convert to fraction form
    505.09/697.06 = 284.05/x
  3. Step 3: Cross multiply
    505.09x = 697.06 × 284.05
  4. Step 4: Simplify right side
    505.09x = 198,001.12
  5. Step 5: Solve for x
    x = 198,001.12/505.09
  6. Step 6: Final answer
    x = 392.01

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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.