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Finding the Fourth Proportional to 504.10, 695.60 and 283.06

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Solution

The fourth proportional to 504.10, 695.60 and 283.06 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 695.60 = 283.06 : x
  2. Step 2: Convert to fraction form
    504.10/695.60 = 283.06/x
  3. Step 3: Cross multiply
    504.10x = 695.60 × 283.06
  4. Step 4: Simplify right side
    504.10x = 196,896.54
  5. Step 5: Solve for x
    x = 196,896.54/504.10
  6. Step 6: Final answer
    x = 390.59

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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.