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Finding the Fourth Proportional to 696.04, 959.88 and 462.76

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Solution

The fourth proportional to 696.04, 959.88 and 462.76 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.04 : 959.88 = 462.76 : x
  2. Step 2: Convert to fraction form
    696.04/959.88 = 462.76/x
  3. Step 3: Cross multiply
    696.04x = 959.88 × 462.76
  4. Step 4: Simplify right side
    696.04x = 444,194.07
  5. Step 5: Solve for x
    x = 444,194.07/696.04
  6. Step 6: Final answer
    x = 638.17

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Half scale
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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.