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Finding the Fourth Proportional to 596.08, 894.48 and 353.20

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Solution

The fourth proportional to 596.08, 894.48 and 353.20 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 894.48 = 353.20 : x
  2. Step 2: Convert to fraction form
    596.08/894.48 = 353.20/x
  3. Step 3: Cross multiply
    596.08x = 894.48 × 353.20
  4. Step 4: Simplify right side
    596.08x = 315,930.34
  5. Step 5: Solve for x
    x = 315,930.34/596.08
  6. Step 6: Final answer
    x = 530.01

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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.