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Finding the Fourth Proportional to 505.16, 697.07 and 284.07

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Solution

The fourth proportional to 505.16, 697.07 and 284.07 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.16 : 697.07 = 284.07 : x
  2. Step 2: Convert to fraction form
    505.16/697.07 = 284.07/x
  3. Step 3: Cross multiply
    505.16x = 697.07 × 284.07
  4. Step 4: Simplify right side
    505.16x = 198,016.08
  5. Step 5: Solve for x
    x = 198,016.08/505.16
  6. Step 6: Final answer
    x = 391.98

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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.