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Finding the Fourth Proportional to 504.27, 695.88 and 280.20

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Solution

The fourth proportional to 504.27, 695.88 and 280.20 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 695.88 = 280.20 : x
  2. Step 2: Convert to fraction form
    504.27/695.88 = 280.20/x
  3. Step 3: Cross multiply
    504.27x = 695.88 × 280.20
  4. Step 4: Simplify right side
    504.27x = 194,986.36
  5. Step 5: Solve for x
    x = 194,986.36/504.27
  6. Step 6: Final answer
    x = 386.67

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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.