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Finding the Fourth Proportional to 596.49, 894.51 and 288.24

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Solution

The fourth proportional to 596.49, 894.51 and 288.24 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 894.51 = 288.24 : x
  2. Step 2: Convert to fraction form
    596.49/894.51 = 288.24/x
  3. Step 3: Cross multiply
    596.49x = 894.51 × 288.24
  4. Step 4: Simplify right side
    596.49x = 257,833.56
  5. Step 5: Solve for x
    x = 257,833.56/596.49
  6. Step 6: Final answer
    x = 432.25

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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.