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Finding the Fourth Proportional to 617.99, 852.45 and 452.00

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Solution

The fourth proportional to 617.99, 852.45 and 452.00 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.99 : 852.45 = 452.00 : x
  2. Step 2: Convert to fraction form
    617.99/852.45 = 452.00/x
  3. Step 3: Cross multiply
    617.99x = 852.45 × 452.00
  4. Step 4: Simplify right side
    617.99x = 385,303.14
  5. Step 5: Solve for x
    x = 385,303.14/617.99
  6. Step 6: Final answer
    x = 623.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.