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Finding the Fourth Proportional to 696.32, 961.08 and 430.84

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Solution

The fourth proportional to 696.32, 961.08 and 430.84 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 961.08 = 430.84 : x
  2. Step 2: Convert to fraction form
    696.32/961.08 = 430.84/x
  3. Step 3: Cross multiply
    696.32x = 961.08 × 430.84
  4. Step 4: Simplify right side
    696.32x = 414,071.71
  5. Step 5: Solve for x
    x = 414,071.71/696.32
  6. Step 6: Final answer
    x = 594.66

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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.