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Finding the Fourth Proportional to 696.19, 959.75 and 430.46

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Solution

The fourth proportional to 696.19, 959.75 and 430.46 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 959.75 = 430.46 : x
  2. Step 2: Convert to fraction form
    696.19/959.75 = 430.46/x
  3. Step 3: Cross multiply
    696.19x = 959.75 × 430.46
  4. Step 4: Simplify right side
    696.19x = 413,133.99
  5. Step 5: Solve for x
    x = 413,133.99/696.19
  6. Step 6: Final answer
    x = 593.42

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Double scale
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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.