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Finding the Fourth Proportional to 690.48, 952.94 and 428.36

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Solution

The fourth proportional to 690.48, 952.94 and 428.36 is: 591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.48 : 952.94 = 428.36 : x
  2. Step 2: Convert to fraction form
    690.48/952.94 = 428.36/x
  3. Step 3: Cross multiply
    690.48x = 952.94 × 428.36
  4. Step 4: Simplify right side
    690.48x = 408,197.68
  5. Step 5: Solve for x
    x = 408,197.68/690.48
  6. Step 6: Final answer
    x = 591.18

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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.