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Finding the Fourth Proportional to 504.32, 695.97 and 283.28

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Solution

The fourth proportional to 504.32, 695.97 and 283.28 is: 390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 695.97 = 283.28 : x
  2. Step 2: Convert to fraction form
    504.32/695.97 = 283.28/x
  3. Step 3: Cross multiply
    504.32x = 695.97 × 283.28
  4. Step 4: Simplify right side
    504.32x = 197,150.90
  5. Step 5: Solve for x
    x = 197,150.90/504.32
  6. Step 6: Final answer
    x = 390.93

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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.