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Finding the Fourth Proportional to 596.40, 894.68 and 284.22

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Solution

The fourth proportional to 596.40, 894.68 and 284.22 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 894.68 = 284.22 : x
  2. Step 2: Convert to fraction form
    596.40/894.68 = 284.22/x
  3. Step 3: Cross multiply
    596.40x = 894.68 × 284.22
  4. Step 4: Simplify right side
    596.40x = 254,284.53
  5. Step 5: Solve for x
    x = 254,284.53/596.40
  6. Step 6: Final answer
    x = 426.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.