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Finding the Fourth Proportional to 504.06, 695.50 and 282.96

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Solution

The fourth proportional to 504.06, 695.50 and 282.96 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 695.50 = 282.96 : x
  2. Step 2: Convert to fraction form
    504.06/695.50 = 282.96/x
  3. Step 3: Cross multiply
    504.06x = 695.50 × 282.96
  4. Step 4: Simplify right side
    504.06x = 196,798.68
  5. Step 5: Solve for x
    x = 196,798.68/504.06
  6. Step 6: Final answer
    x = 390.43

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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.