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Finding the Fourth Proportional to 596.25, 894.49 and 288.31

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Solution

The fourth proportional to 596.25, 894.49 and 288.31 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 894.49 = 288.31 : x
  2. Step 2: Convert to fraction form
    596.25/894.49 = 288.31/x
  3. Step 3: Cross multiply
    596.25x = 894.49 × 288.31
  4. Step 4: Simplify right side
    596.25x = 257,890.41
  5. Step 5: Solve for x
    x = 257,890.41/596.25
  6. Step 6: Final answer
    x = 432.52

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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.