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Finding the Fourth Proportional to 504.40, 696.08 and 280.32

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Solution

The fourth proportional to 504.40, 696.08 and 280.32 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 696.08 = 280.32 : x
  2. Step 2: Convert to fraction form
    504.40/696.08 = 280.32/x
  3. Step 3: Cross multiply
    504.40x = 696.08 × 280.32
  4. Step 4: Simplify right side
    504.40x = 195,123.74
  5. Step 5: Solve for x
    x = 195,123.74/504.40
  6. Step 6: Final answer
    x = 386.84

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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.