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Finding the Fourth Proportional to 596.25, 894.78 and 435.06

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Solution

The fourth proportional to 596.25, 894.78 and 435.06 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 894.78 = 435.06 : x
  2. Step 2: Convert to fraction form
    596.25/894.78 = 435.06/x
  3. Step 3: Cross multiply
    596.25x = 894.78 × 435.06
  4. Step 4: Simplify right side
    596.25x = 389,282.99
  5. Step 5: Solve for x
    x = 389,282.99/596.25
  6. Step 6: Final answer
    x = 652.89

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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.