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Finding the Fourth Proportional to 503.12, 694.32 and 282.08

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Solution

The fourth proportional to 503.12, 694.32 and 282.08 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.32 = 282.08 : x
  2. Step 2: Convert to fraction form
    503.12/694.32 = 282.08/x
  3. Step 3: Cross multiply
    503.12x = 694.32 × 282.08
  4. Step 4: Simplify right side
    503.12x = 195,852.38
  5. Step 5: Solve for x
    x = 195,852.38/503.12
  6. Step 6: Final answer
    x = 389.28

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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.