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Finding the Fourth Proportional to 596.24, 890.50 and 563.12

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Solution

The fourth proportional to 596.24, 890.50 and 563.12 is: 841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 890.50 = 563.12 : x
  2. Step 2: Convert to fraction form
    596.24/890.50 = 563.12/x
  3. Step 3: Cross multiply
    596.24x = 890.50 × 563.12
  4. Step 4: Simplify right side
    596.24x = 501,458.36
  5. Step 5: Solve for x
    x = 501,458.36/596.24
  6. Step 6: Final answer
    x = 841.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.