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Finding the Fourth Proportional to 695.28, 959.69 and 400.76

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Solution

The fourth proportional to 695.28, 959.69 and 400.76 is: 553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.28 : 959.69 = 400.76 : x
  2. Step 2: Convert to fraction form
    695.28/959.69 = 400.76/x
  3. Step 3: Cross multiply
    695.28x = 959.69 × 400.76
  4. Step 4: Simplify right side
    695.28x = 384,598.56
  5. Step 5: Solve for x
    x = 384,598.56/695.28
  6. Step 6: Final answer
    x = 553.16

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1.5x scale

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.