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Finding the Fourth Proportional to 504.22, 695.86 and 283.18

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Solution

The fourth proportional to 504.22, 695.86 and 283.18 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.22 : 695.86 = 283.18 : x
  2. Step 2: Convert to fraction form
    504.22/695.86 = 283.18/x
  3. Step 3: Cross multiply
    504.22x = 695.86 × 283.18
  4. Step 4: Simplify right side
    504.22x = 197,053.63
  5. Step 5: Solve for x
    x = 197,053.63/504.22
  6. Step 6: Final answer
    x = 390.81

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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.